a)37,5.8,5-7,5.3,4-6,6.7,5+1,5.37,5
b)352+402-252+80.35
tính nhanh
a, 37,5.8,5 - 7,5.3,4 - 6,6.7,5 = 1,5.37,5
b, 35^2 + 40^2 - 25^2 + 80.35
\(a)37,5.8,5-7,5.3,4-6,6.7,5+1,5.37,5\)
\(=\left(37,5.8,5+1,5.37,5\right)-\left(7,5.3,4+6,6.7,5\right)\)
\(=37,5\left(8,5+1,5\right)-7,5\left(3,4+6,6\right)\)
\(=37,5.10-7,5.10\)
\(=10\left(37,5-7,5\right)\)
\(=10.30\)
\(=300\)
\(b)35^2+40^2-25^2+80.35\)
\(=\left(35^2+80.35+40^2\right)-25^2\)
\(=\left(35+40\right)^2-25^2\)
\(=75^2-25^2\)
\(=\left(75-25\right)\left(75+25\right)\)
\(=50.100\)
\(=5000.\)
a, 37,5.8,5 - 7,5.3,4 + 1,5.37,5
b, 35^2 + 40^2 - 25^2 + 80.35
a) Cậu hình như chép thiếu đề
b) \(35^2+40^2-25^2+80.35\)
= 352 +2.40.35 +402 -252
= (35 +40)2 - 252
= ( 35+40-25).(35+40+25)
=100.50
=5000
Tính nhanh:37,5.8,5-7,5.3,4-6,6.7,5+1,5.37,5
\(37,5.8,5-7,5.3,4-6,6.7,5+1,5.37,5\)
\(=\left(37,5.8,5+1,5.37,5\right)-\left(7,5.3,4+6,6.7,5\right)\)
\(=37,5\left(8,5+1,5\right)-7,5\left(3,4+6,6\right)\)
\(=37,5.10-7,5.10\)
\(=10\left(37,5-7,5\right)\)
\(=10.30\)
\(=300\)
Tính nhanh;
37,5.8,5-7,5.3,4-6,6.7,5+1,5.37,5
\(37,5.8,5-7,5.3,4-6,6.7,5+1,5.37,5\)
\(=\left(37,5.8,5+1,5.3,5\right)+\left(-7,5.3,4-6,6.7,5\right)\)
\(=37,5\left(8,5+1,5\right)-7,5\left(3,4+6,6\right)\)
\(=37,5.10-7,5.10\)
\(=10.\left(37,5-7,5\right)\)
\(=10.30=300\)
tính nhanh:
a,37,5.85 - 7,5.3,4 - 6,6.7,5 + 1,5.37,5
b,35^2 + 40^2 - 25^2 + 80.35
a) 37,5.8,5 - 7,5.3,4 - 6,6.7,5 + 1,5.37,5
= (37,5.8,5 + 1,5.37,5) - (7,5.3,4 + 6,6.7,5)
= 37,5(8,5 + 1,5) - 7,5(3,4 + 6,6)
=37,5.10 - 7,5.10
=375 - 75
= 300
b) 352 + 402 - 252 + 80.35
= (352 + 80.35 + 402) - 252
= (35 + 40)2 - 252
= (35 + 40 - 25)(35 + 40 + 25)
= 50.100
= 5000
a) 37,5.8,5-7,5.3,4-6,6.7,5+1,5.37,5
=(37,5.8,5+1,5.37,5)-(7,5.3,4+6,6.7,5)
=37,5.(8,5+1,5)-7,5.(3,4+6,6)
=37,5.10-7,5.10
=375-75
=300
b) 352+402-252+80.35
=(352+80.35+402)-252
=(35+40)2-252
=(35+40+25).(35+40-25)
=100.50
=5000
tính nhanh
a, 37,5.8,5 -7,5.3,4 -6,6.7,5 +1,5.37,5 ;
b, 35^2+ 40^2 -25^2 +80,35
giúp mik nhanh nha
1/ Phân tích đa thức thành nhân tử:
a) x2- y2- 2yz-z2
b) 2xy-x2 -y2+ 16
b
c) 3a2- 6ab+ 3b2- 12c2
2/ Tính nhanh:
a) 37,5.8,5-7,5.3.4+6,6.7,5+1,5.37,5
b) 352+402-252+80.35
HELP MEEEE!!!!!
Bài 1:
a) \(x^2-y^2-2yz-z^2\)
\(=x^2-\left(y^2+2yz+z^2\right)\)
\(=x^2-\left(y+z\right)^2\)
\(=\left(x+y+z\right)\left(x-y-z\right)\)
b) \(2xy-x^2-y^2+16\)
\(=16-\left(x^2-2xy+y^2\right)\)
\(=4^2-\left(x-y\right)^2\)
\(=\left(4+x-y\right)\left(4-x+y\right)\)
c) \(3a^2-6ab+3b^2-12c^2\)
\(=3\left(a^2-2ab+b^2-4c^2\right)\)
\(=3\left[\left(a^2-2ab+b^2\right)-\left(2c\right)^2\right]\)
\(=3\left[\left(a-b\right)^2-\left(2c\right)^2\right]\)
\(=3\left(a-b-2c\right)\left(a-b+2c\right)\)
Bài 2:
a) \(37,5\cdot8,5-7,5\cdot3,4+6,6\cdot7,5+1,5\cdot37,5\)
\(=\left(37,5\cdot8,5+1,5\cdot37,5\right)-\left(7,5\cdot3,4-6,6\cdot7,5\right)\)
\(=37,5\cdot\left(8,5+1,5\right)-7,5\cdot\left(3,4-6,6\right)\)
\(=37,5\cdot10-7,5\cdot10\) (mk đoán đề bạn chép sai)
\(=10\cdot\left(37,5-7,5\right)\)
\(=10\cdot30\)
\(=300\)
b) \(35^2+40^2-25^2+80\cdot35\)
\(=\left(40^2+2\cdot40\cdot35+35^2\right)-25^2\)
\(=\left(40+35\right)^2-25^2\)
\(=75^2-25^2\)
\(=\left(75+25\right)\left(75-25\right)\)
\(=100\cdot50\)
\(=5000\)
Bài 1:
a, \(x^2-y^2-2yz-z^2=x^2-\left(y^2+2yz+z^2\right)\)
\(=x^2-\left(y+z\right)^2=\left(x-y-z\right)\left(x+y+z\right)\)
b, \(2xy-x^2-y^2+16=16-\left(x^2-2xy+y^2\right)\)
\(=16-\left(x-y\right)^2=\left(4-x+y\right)\left(4+x-y\right)\)
c, \(3a^2-6ab+3b^2-12c^2\)
\(=3\left(a-b\right)^2-12c^2=3\left[\left(a-b\right)^2-4c^2\right]\)
\(=3\left(a-b+2c\right)\left(a-b-2c\right)\)
Bài 2:
a, \(37,5.8,5-7,5.3,4+6,6.7,5+1,5.37,5\)
\(=37,5.\left(8,5+1,5\right)-7,5.\left(3,4+6,6\right)\)
\(=37,5.10-7,5.10=10.\left(37,5-7,5\right)\)
\(=10.30=300\)
b, \(35^2+40^2-25^2+80.35\)
\(=\left(40^2+2.40.35+35^2\right)-25^2\)
\(=\left(40+35\right)^2-25^2=75^2-25^2\)
\(=\left(75-25\right)\left(75+25\right)=50.100=5000\)
https://hoc24.vn//hoi-dap/question/447059.html
1. Phân tích các đa thức sau thành nhântử
a) 2x2 - 2xy - 5x + 5y
b) 8x2 + 4xy - 2ã - ay
c) x3 - 4x2 + 4x
d) 2xy - x2 - y2 + 16
e) x2 - y2 - 2yz - z2
g)3a2 - 6ab + 3b2 - 12c2
3. Tính nhanh:
a) 37,5.8,5 - 7,5.3,4 - 6,6.7,5 + 1,5.37,5
b) 352 + 402 - 252 = 80.35
3. Tìm x, biết:
a) x3 - 1/9 = 0
b) 2x - 2y - x2 + 2xy - y2 = 0
c) x(x -30 = x - 3 = 0
d) x2 ( x - 3) + 27 - 9x = 0
\(a,2x^2-2xt-5x+5y\)
\(=\left(2x^2-5x\right)-\left(2xy-5y\right)\)
\(=x\left(2x-5\right)-y\left(2x-5\right)\)
\(=\left(2x-5\right)\left(x-y\right)\)
\(b,8x^2+4xy-2ax-ay\)
\(=\left(8x^2-2ax\right)+\left(4xy-ay\right)\)
\(=2x\left(4x-a\right)+y\left(4x-a\right)\)
\(=\left(4x-a\right)\left(2x+y\right)\)
\(c,x^3-4x^2+4x\)
\(=x^3-2x^2-2x^2+4x\)
\(=\left(x^3-2x^2\right)-\left(2x^2-4x\right)\)
\(=x^2\left(x-2\right)-2x\left(x-2\right)\)
\(=\left(x-2\right)\left(x^2-2x\right)=x\left(x-2\right)\left(x-2\right)\)
\(=x\left(x-2\right)^2\)
\(d,2xy-x^2-y^2+16\)
\(=-\left(x^2-2xy+y^2-16\right)\)
\(=-\left[\left(x-y\right)^2-4^2\right]\)
\(=-\left(x-y-4\right)\left(x-y+4\right)\)
\(e,x^2-y^2-2yz-z^2\)
\(=x^2-\left(y^2+2yz+z^2\right)\)
\(=x^2-\left(y+z\right)^2=\left(x-y-z\right)\left(x+y+z\right)\)
bài 3
a) 37,5 . 8,5-7,5.3,4-6,6.7,5 +1,5.37,5
=(37,5.8,5+1,5.37,5)-(7,5 .3,4+6,6.7,5)
=37,5(8,5+1,5)-7,5(3,4+6,6
=37,5.10-7,5.10
=10(37,5-7,5)
=10.30
=300
b)352+402-252+80.35
=352+2.40.35+402-252
=(352+2,40.35+402)-252
=(35+40)2 -252
=(35+40-25)(35+40+25)
=50.100
5000
BAI 1.phan tich cac da thuc sau thanh nhan tu:
a,2x^2-2xy-5x+5y
b,8x^2+4xy-2ax-ay
c,x^3-4x^2+4x
d,2xy-x^2-y^2+16
e,x^2-y^2-2yz-z^2
g,3a^2-6ab+3b^2-12c^2
BAI 2.tinh nhanh
a,37,5.8,5-7,5.3,4-6,6.7,5+1,5.37,5
b,35^2+40^2-25^2+80.35
BAI 3. Tim x biet:
a,x^3-1/9x=0
b,2x-2y-x^2+2xy-y^2=0
c,x(x-3)+x-3=0
d,x^2(x-3)+27-9x=0
BAI 4.Phan tich cac da thuc sau thanh nhan tu
a,x^2-4x+3
goi y :tach-4x=-x3xhoac tach3=-1+4
b,x^2+x-6
c,x^2-5x+6
d,x^4+4 (goi y:them va bot 4x^2)
BAI 5.Chung minh rang;
(3n+4)^2-16 chia het cho 3 voi moi so nguyen n.
BAI 6.Tinh gia tri cua bieu thuc sau:
M=a^3-a^2b-ab^2+b^3 voi a=5,75:b=4,25
BAI 7.Tim x biet:
a,x^2+x=6
b,6x^3+x^2=2x
Bài 1 câu g bạn kia làm sai mình sửa lại nhá
\(3a^2-6ab+3b^2-12c^2\)
\(=3\left(a^2-2ab+b^2\right)-12c^2\)
\(=3\left(a-b\right)^2-12c^2\)
\(=3\left[\left(a-b\right)^2-4c^2\right]\)
\(=3\left(a-b-2c\right)\left(a-b+2c\right)\)
Để mình làm tiếp cho :))
Bài 2 :
Câu a : \(37,5.8,5-7,5.3,4-6,6.7,5+1,5.37,5\)
\(=\left(37,5.8,5+1,5.37,5\right)-\left(7,5.3,4+6,6.7,5\right)\)
\(=37,5\left(8,5+1,5\right)-7,5\left(3,4+6,6\right)\)
\(=37,5.10-7,5.10\)
\(=10.30=300\)
Câu b : \(35^2+40^2-25^2+80.35\)
\(=\left(35^2+80.35+40^2\right)-25^2\)
\(=\left(30+45\right)^2-25^2\)
\(=75^2-25^2\)
\(=\left(75+25\right)\left(75-25\right)\)
\(=100.50=5000\)
Bài 3 :
Câu a : \(x^3-\dfrac{1}{9}x=0\)
\(\Leftrightarrow x\left(x^2-\dfrac{1}{9}\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x^2-\dfrac{1}{9}=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x=\pm\dfrac{1}{3}\end{matrix}\right.\)
Câu b : \(2x-2y-x^2+2xy-y^2=0\)
\(\Leftrightarrow2\left(x-y\right)-\left(x-y\right)^2=0\)
\(\Leftrightarrow\left(x-y\right)\left(2-x+y\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-y=0\\2-x+y=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=y\\x+y=2\Rightarrow x=2-y\end{matrix}\right.\)
Câu c :
\(x\left(x-3\right)+x-3=0\)
\(\Leftrightarrow\left(x-3\right)\left(x+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-3=0\\x+1=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=3\\x=-1\end{matrix}\right.\)
\(x^2\left(x-3\right)+27-9x=0\)
\(\Leftrightarrow x^2\left(x-3\right)-9\left(x-3\right)=0\)
\(\Leftrightarrow\left(x-3\right)\left(x^2-9\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-3=0\\x^2-9=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=3\\x=\pm3\end{matrix}\right.\)
Bài 4 :
Câu a :
\(x^2-4x+3\)
\(=x^2-x-3x+3\)
\(=\left(x^2-x\right)-\left(3x-3\right)\)
\(=x\left(x-1\right)-3\left(x-1\right)\)
\(=\left(x-1\right)\left(x-3\right)\)
Câu b :
\(x^2+x-6\)
\(=x^2-2x+3x-6\)
\(=x\left(x-2\right)+3\left(x-2\right)\)
\(=\left(x-2\right)\left(x+3\right)\)
Câu c :
\(x^2-5x+6\)
\(=x^2-2x-3x+6\)
\(=\left(x^2-2x\right)-\left(3x-6\right)\)
\(=x\left(x-2\right)-3\left(x-2\right)\)
\(=\left(x-2\right)\left(x-3\right)\)
Câu d :
\(x^4+4\)
\(=x^4+4x^2+4-4x^2\)
\(=\left(x^2+2\right)^2-\left(2x\right)^2\)
\(=\left(x^2+2-2x\right)\left(x^2+2+2x\right)\)
Bài 1:
a) \(2x^2-2xy-5x+5y\)
\(=\left(2x^2-2xy\right)-\left(5x-5y\right)\)
\(=2x\left(x-y\right)-5\left(x-y\right)\)
\(=\left(x-y\right)\left(2x-5\right)\)
b) \(8x^2+4xy-2ax-ay\)
\(=\left(8x^2+4xy\right)-\left(2ax+ay\right)\)
\(=4x\left(2x+y\right)-a\left(2x+y\right)\)
\(=\left(2x+y\right)\left(4x-a\right)\)
c) \(x^3-4x^2+4x\)
\(=x\left(x^2-4x+4\right)\)
\(=x\left(x-2\right)^2\)
d) \(2xy-x^2-y^2+16\)
\(=-\left[\left(x^2-2xy+y^2\right)-16\right]\)
\(=-\left[\left(x-y\right)^2-4^2\right]\)
\(=-\left[\left(x-y-4\right)\left(x-y+4\right)\right]\)
e) \(x^2-y^2-2yz-z^2\)
\(=-\left[\left(z^2+2yz+y^2\right)-x^2\right]\)
\(=-\left[\left(z+y\right)^2-x^2\right]\)
\(=-\left[\left(z+y+x\right)\left(z+y-x\right)\right]\)
g) \(3a^2-6ab+3b^2-12c^2\)
\(=\left(3a^2-6ab+3b^2\right)-12c^2\)
\(=\left(\sqrt{3a}+\sqrt{3b}\right)^2-12c^2\)
\(=\left(\sqrt{3a}+\sqrt{3b}+\sqrt{12c}\right)\left(\sqrt{3a}+\sqrt{3b}-\sqrt{12c}\right)\)