b. /2-3x/-5=-1
A) (3X+5)^2+(3X-5)^2-(3X+2)(3X-2)
B)2(3x-2)^2-3(2x+5)^2-6(x-1)(x+1)
C)(a+b+c)^2+(a+b+c)^2
a) Chắc là tính (a+b)2 nhỉ?
Ta có: (a+b)2= a2+2ab+b2
= a2+b2+2ab
=232 +2.132
=529+246
=775
b)Tính gì bạn nhỉ?
c)Áp dụng hằng đẳng thức phụ (x-y)2=(x+y)2-4xy
Ta có: (x-y)2= 92 - 4.14
= 81-56
=25
=>x-y=\(\sqrt{25}\)=5
đề bài là gì bạn?
gửi lại rồi mk giải cho
bạn hướng dẫn mik bài này vs
a)cho a+b=23; a.b=132
tính a+b=?
b)m+n+p=15 và m^2+n^2+p^2=77
c) x+y=9; x.y=14. tính x-y=?
B) (2x+3)2-(5x-4) (5x+4)=(x+5)2-(3x-1) (7x+2)-(x2-x+1)
C) (1-3x)2-(x-2) (9x+1)=(3x-4) (3x+4)-9(x+3)2
D) (3x+4) (3x-4) - (2x+5)2=(x-5)2+(2x+1)2-(x2-2x)+(x-1)2 cần gắp
Bài 1 : Thực hiện phép tính :
a. ( 3x+5)^2
b.(2x-3y)^2
c.(4x^2-5y)^2
d.(2xy+3y)^2
e.(3x+5)^2-9(x-2)^2
f.(x+y)^2+(x-y)^2
g.(2a-b)^2-(2a+b)^2
Bài 2 : Tìm x :
a.(3x-4)(3x+4)-(3x+1)^2=0
b.(2x-5)^2-(2x+1)(2x-1)=10
c.(3x-1)^2+2(3x-1)(3-x)+(3-x)^2=25
Rút gọn các biểu thức sau:
a,(3x+1)^2-2(3x+1)(3x-5)+(3x-5)^2
b,(3x^2-y)^2
c,(3x+5)^2+(3x-5)^2-(3x+2)(3x-2)
d,2x(2x-1)^2-3x(x+3)(Õ-3)-4x(x+1)^2
e,(x-2)(x^2+2x+4)-(x+1)^2+3(x-1)(x+1)
f,(x^4-5x^2+25)(x^2+5)-(2+x^2)^2+3(1+x^2)^2
a) (3x + 1)^2 - 2(3x + 1)(3x - 5) + (3x - 5)^2
= 9x^2 + 6x + 1 - 18x^2 + 24x + 10 + 9x^2 - 30x + 25
= 36
b) (3x^2 - y)^2
= 9x^4 - 6x^2y + y^2
c) (3x + 5)^2 + (3x - 5)^2 - (3x + 2)(3x - 2)
= 9x^2 + 30x + 25 + 9x^2 - 30x + 25 - 9x^2 + 4
= 9x^2 + 54
d) 2x(2x - 1)^2 - 3x(x + 3)(x - 3) - 4x(x + 1)^2
= 8x^3 - 8x^2 + 2x - 3x^2 + 27x - 4x^3 - 8x^2 - 4x
= x^3 - 16x^2 + 25x
e) (x - 2)(x^2 + 2x + 4) - (x + 1)^2 + 3(x - 1)(x + 1)
= x^3 - 8 - x^2 - 2x - 1 + 3x^2 - 2
= x^3 + 2x^2 - 2x - 12
f) (x^4 - 5x^2 + 25)(x^2 + 5) - (2 + x^2)^2 + 3(1 + x^2)^2
= x^6 + 125 - 4 - 4x^2 - x^2 + 3 + 6x^2 + 3x^4
= x^6 + 2x^4 + 2x^2 + 124
Bài1:a)2|x|-|x+1|=2 b)|x-1|+|x-2|=1 Bài2:a) 7x+4/5 -x>_=|3x-5|/2 b)x-|3x-2|/5< =3- 2x-5/3. Bài3:|x2-x+2|-3x-7=0
1) Tìm x,biết :
a) 3/2 . |x-5/3| - 4/5 = 4/3 . |x-5/3| + 1
b) 2.|3x +1| = 1/3 . |3x + 1| +5
c) 1/4 - 5/2 . | 3x - 1/5| = 2/3. |3x - 1/5| - 2/3
a) 3/2.|x - 5/3| - 4/5 = 4/3.|x - 5/3| + 1
<=> 3/2.|x - 5/3| = 4/3.|x - 5/3| + 1 + 4/5
<=> 3/2.|x - 5/3| = 9/5 + 4|x - 5/3|/3
<=> 3/2.|x - 5/3| - 4.|x - 5/3|/3 = 9/5
<=> |x - 5/3|/6 = 9/5
<=> |x - 5/3| = 9/5.6
<=> |x - 5/3| = 54/5
<=> x - 5/3 = 54/5 hoặc x - 5/3 = -54/5
x = 54/5 + 5/3 x = -54/5 - 5/3
x = 187/15 x = -137/15
b) 2.|3x + 1| = 1/3.|3x + 1| + 5
<=> 2.|3x + 1| - 1/3.|3x + 1| = 5
<=> 5/3.|3x + 1| = 5
<=> 5.|3x + 1| = 5.3
<=> 5.|3x + 1| = 15
<=> |3x + 1| = 15 : 5
<=> |3x + 1| = 3
3x + 1 = 3 hoặc 3x + 1 = -3
3x = 3 - 1 3x = -3 - 1
3x = 2 3x = -4
x = 2/3 x = -4/3
=> x = 2/3 hoặc x = -4/3
c) làm tương tự câu a) mình hơi lời
Làm câu c) cho
\(\frac{1}{4}-\frac{5}{2}\left|3x-\frac{1}{5}\right|=\frac{2}{3}\left|3x-\frac{1}{5}\right|-\frac{2}{3}\)
\(\Leftrightarrow\frac{1}{4}+\frac{2}{3}=\frac{2}{3}\left|3x-\frac{1}{5}\right|+\frac{5}{2}\left|3x-\frac{1}{5}\right|\)
\(\Leftrightarrow\frac{3}{12}+\frac{8}{12}=\left|3x-\frac{1}{5}\right|\left(\frac{2}{3}+\frac{5}{2}\right)\)
\(\Leftrightarrow\left|3x-\frac{1}{5}\right|\left(\frac{4}{6}+\frac{15}{6}\right)=\frac{11}{12}\)
\(\Leftrightarrow\frac{19}{6}\left|3x-\frac{1}{5}\right|=\frac{11}{12}\)
\(\Leftrightarrow\left|3x-\frac{1}{5}\right|=\frac{11}{12}.\frac{6}{19}\)
\(\Leftrightarrow\left|3x-\frac{1}{5}\right|=\frac{11}{38}\)
\(\Leftrightarrow\orbr{\begin{cases}3x-\frac{1}{5}=\frac{11}{38}\\3x-\frac{1}{5}=-\frac{11}{38}\end{cases}}\)
Giải tiếp nha
a, x(3x+1)-5 b, (x-5)² (3x-2) (3x+2)
`a,x(3x+1)-5`
`=3x^2+x-5`
`b, (x-5)^2(3x-2)(3x+2)`
`= (x^2-10x+25)(9x^2-4)`
`= 9x^4 - 4x^2 - 90x^3 + 40x + 225x^2 - 100`
`= 9x^4 -90x^3 +221x^2 + 40x-100`
1) rút gọn
a) (x^2-2x+2)(x^2-2)(x^2+2x+2)(x^2+2)
b) (x+1)^2-(x-1)^2+3x^3-3x(x+1)(x-1)
c) (2x+1)^2+2(4x^2-1)+(2x+1)^2
d) (3x+1)^2-2(3x+1)(3x+5)+(3x+5)^2
e) (a-b+c)^2-2(a-b+c)(c-b)+(b-c)^2
f)(2x-5)(4x^2+10x+25)(2x+5)(4x^2-10x+25)
g)(a+b)^3+(a-b)^3-2a^3
h) 100^2-99^2+98^2-97^2+....+2^2 -1
tìm x,y
a) ( 3x-2)^3 - (3x - 2) ( 9x^2 + 6x +4) = 6( 3x+5)(5 - 3x )
b) ( 2x - 1)( 4x^2 - 4x +1) - (2x+ 1)^3+ 3(2x+5)(2x - 5)= -5
a/ (x+1) ² - (x-1) ² - 2(x+1)(x-1)
b/ 5(x+2)(x-) - 1/2 . (6-8x) ² + 17
c/ (3x+1) ² - 2(3x+1)(3x+5)+(3x+5) ²
a) \(\left(x+1\right)^2-\left(x-1\right)^2-2\left(x+1\right)\left(x-1\right)\)
\(=\left(x^2+2x+1^2\right)-\left(x^2-2x+1^2\right)-2.\left(x^2-1^2\right)\)
\(=x^2+2x+1-x^2+2x-1-2x^2+2\)
\(=4x-2x^2+2\)
b) Check lại đề nha! Thiếu rồi
c) \(\left(3x+1\right)^2-2\left(3x+1\right)\left(3x+5\right)+\left(3x+5\right)^2\)
\(=\left(9x^2+2.3x.1+1^2\right)-2.\left[3x\left(3x+5\right)+1\left(3x+5\right)\right]+\left(9x^2+2.3x.5+5^2\right)\)
\(=9x^2+6x+1-2\left(9x^2+15x+3x+5\right)+9x^2+30x+25\)
\(=9x^2+6x+1-18x^2-30x-6x-10+9x^2+30x+25\)
\(=16\)
P/s: Ko chắc!