Tính nhanh
\(67^2+33^2+66.67\)
BT1: Phân tích đa thức thành nhân tử
a) 3x2-9x ; b) x2-4x+4 ; c) x2+6x+9-y2
BT2: Tính nhanh
a) 1012-1 ; b) 672+66.67+332
BT3: Tìm x
x(x-3)+2(x-3)=0
Mọi người giúp em với, em cảm ơn nhiều ạ :33
Bài 1:
a) \(3x^2-9x=3x\left(x-3\right)\)
b) \(x^2-4x+4=\left(x-2\right)^2\)
c) \(x^2+6x+9-y^2=\left(x+3\right)^2-y^2=\left(x-y+3\right)\left(x+y+3\right)\)
Bài 2:
a) \(101^2-1=\left(101-1\right)\left(101+1\right)=102.100=10200\)
b) \(67^2+66.67+33^2=67^2+2.33.67+33^2\)
\(=\left(67+33\right)^2=100^2=10000\)
Bài 3:
\(x\left(x-3\right)+2\left(x+3\right)=0\)
\(\Leftrightarrow\left(x-3\right)\left(x+2\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-3=0\\x+2=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=3\\x=-2\end{cases}}\)
Vậy \(x=-2\)hoặc \(x=3\)
B1:
a) \(3x^2-9x=3x.\left(x-3\right)\)
b) \(x^2-4x+4=\left(x-2\right)^2\)
c) \(x^2+6x+9-y^2=\left(x+3\right)^2-y^2=\left(x+3+y\right).\left(x+3-y\right)\)
B2:
a) \(101^2-1=\left(101+1\right).\left(101-1\right)=102.100=10200\)
b) \(67^2+66.67+33^2=67^2+2.33.67+33^2=\left(67+33\right)^2=100^2=10000\)
B3:
\(x\left(x-3\right)+2\left(x-3\right)=0\)
\(\left(x-3\right).\left(x+2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-3=0\\x+2=0\end{cases}\Rightarrow}\orbr{\begin{cases}x=3\\x=-2\end{cases}}\)
BT1
a, 3x2 - 9x = 3x( x - 3 )
b, x2 - 4x + 4 = ( x - 2 )2
c, x2 + 6x + 9 - y2 = ( x2 + 6x + 9 ) - y2
= ( x + 3 )2 -y2
= ( x + 3 - y ) ( x + 3 + y )
BT2
a, 1012 - 1 = ( 101 - 1 ) ( 101 + 1 ) = 100 . 102 = 10200
b, 672 + 66 . 67 + 332 = 672 + 2 . 67 . 33 + 332
= ( 67 + 33 )2 = 1002 = 10000
BT3
x ( x - 3 ) + 2 ( x - 3 ) = 0
<=> ( x + 2 )( x - 3 ) = 0
<=> x + 2 = 0 <=> x = -2
x - 3 = 0 x = 3
vậy ................
Tính nhanh:
( 100 + 67 ) × 67 + ( 200 - 33 ) × 30 + 1610 : 10 + ( 355 - 188 ) × 2
= 167 x 67 + 167 x 30 + 161 x 1 + 167 x 2
= 167 x (67 +30 +1 + 2 )
=167 X 100
= 16 700
Tính nhanh -53.( 67-33)-67.(33-53)
Tính nhanh: -67.(-33+77)+(-67-77).33
Cần gấppp=))
\(=\left(-67\right).\left(-33\right)-67.77+\left(-67\right).33-77.33\)
\(=\left[\left(-67\right).\left(-33\right)+\left(-67\right).33\right]-66.77-77.33\)
\(=-77\left(66+33\right)=-77.99=-7623\)
Tính nhanh :
(67/111+2/33-15/117).(1/3-1/4-1/12)
(67/111+2/33-15/117) . (1/3-1/4-1/12)
= (67/111+2/33-15/117) . 0
= 2836/5291 . 0
= 0
Tính nhanh
(100 + 67) x 67 + (200 – 33) x 33
\(\left(100+67\right).67+\left(200-33\right).33\)
\(=167.67+167.33\)
\(=167.\left(67+33\right)=167.100=16700\)
ĐỀ BẠN TỰ GHI À NHA
=167x67+167x33
=167x(67+33)
=167x100
=16700
(100 + 67) x 67 + (200 – 33) x 33
=167x67+167x33
=167x(67+33)
=167x100
=16700
2. tính nhanh:
a) (100 + 67 ) x 67 + (200 - 33 ) x 33
Tính nhanh: 67 + 135+33.
67 +135 + 33 = (67 + 33) +135 = 100 +135 - 235.
Tính nhanh: (67+ 95) + 33.
(67+ 95) + 33 = (67+ 33) + 95 = 100 + 95 = 195