Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) 3x( 2x + 3) -(2x+5)(3x-2)=8
<=> 6x^2+9x-6x^2+4x-15x+10=8
<=> -2x+10=8
<=> -2x= 8-10 = -2
<=> x=1
b) (3x-4)(2x+1)-(6x+5)(x-3)=3
<=> 6x^2+3x-8x-4-6x^2+18x-5x+15=3
<=> -8x+11=3
<=> -8x= -8
<=> x=1
c, 2(3x-1)(2x+5)-6(2x-1)(x+2)=-6
<=> 2(6x^2+15x-2x-5)-6(2x^2+4x-x-2)=6
<=> 2(6x^2+13x-5)-6(2x^2+3x-2)=6
<=> 12x^2+ 26x-10-12x^2-18x+12=6
<=> 8x+2=6
<=> 8x=4
<=> x= 1/2
d, 3xy(x+y)-(x+y)(x^2 +y^2+2xy)+y^3=27
<=> 3x2y+3xy2-(x+y)(x+y)2+y3=27
<=> 3x2y+3xy2-(x+y)3+y3=27
<=> 3x2y +3xy2 -x3-3x2y-3xy2-y3+y3=27
<=> -x3=27
<=> x= \(-\sqrt[3]{27}\)= -3
2 .tìm x
a , x ( x + 2 ) = 0
\(\Leftrightarrow\left\{{}\begin{matrix}x=0\\x+2=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=0\\x=-2\end{matrix}\right.\)
b, x ( x-5 )= 5 -x
<=> x ( x-5 ) + x - 5 = 0
<=> x (x-5) + ( x-5)= 0
<=> (x-5)(x+1 )=0
\(\Leftrightarrow\left\{{}\begin{matrix}x-5=0\\x+1=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=5\\x=-1\end{matrix}\right.\)
c) ( x + 1 ) ( 6x2 + 2x ) + ( x - 1 ) ( 6x2 + 2x ) = 0
\(\Leftrightarrow\) ( 6x2 + 2x ) \([\)(x+1)(x-1)\(]\)=0
\(\Leftrightarrow\) \(\left\{{}\begin{matrix}2x\left(3x+1\right)=0\\x^{2^{ }}-1=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}2x=0\\3x+1=0\\x^2-1=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=0\\x=\frac{-1}{3}\\x=1\end{matrix}\right.\)
1 ,a) 2a ( x - y ) - ( y - x ) = 2ax - 2ay - y + x
= x ( 2a + 1 ) - y ( 2a + 1 )
= ( 2a + 1 ) ( x - y )
b) a2 ( x - y ) - ( y - x ) = a2x - a2y - y + x
= x ( a2+ 1 ) - y ( a2 +1 )
= ( a2+1 ) - (x-y )
c) x ( x - y ) + y ( y - x ) - 3 ( x - y ) = x 2 - xy -+ y 2 - xy - 3x + 3y
= x2 - 2xy + y2 -3x + 3y
= (x-y)2 -3 ( x - y )
= ( x-y ) ( x-y+3)
f/ \(3xy\left(x+y\right)-\left(x+y\right)\left(x^2+y^2+2xy\right)+y^3=27\)
\(3x^2y+3xy^2-\left(x+y\right)\left(x+y\right)^2+y^3=27\)
\(3x^2y+3xy^3-\left(x+y\right)^3+y^3=27\)
\(3x^2y+3xy^3-\left(x^3+3x^2y+3xy^2+b^3\right)+y^3=27\)
\(-x^3=27\)
\(x=-3\)
1/
a. \(3x\left(5x^2-2x-1\right)\)
\(=15x^3-6x^2-3x\)
b. \(\left(x^2-2xy+3\right)\left(-xy\right)\)
\(=-x^3y+2x^2y^2-3xy\)
c. \(\left(2x^2-3xy+y^2\right)\left(x+y\right)\)
\(=2x^3-3x^2y+xy^2+2x^2y-3xy^2+y^3\)
\(=2x^3-x^2y-2xy^2\)
a) thiếu đề
b) \(\left(3x-3\right)\left(5-21x\right)+\left(7x+4\right)\left(9x-5\right)=44\)
\(15x-63x^2-15+63x+63x^2-35x+36x-20=44\)
\(79x-35=40\)
\(79x=75\)
\(x=\frac{75}{79}\)
a, \(\left(x-y\right)\left(x^2+xy+y^2\right)\)
\(=x^3+x^2y+xy^2-x^2y-xy^2-y^3=x^3-y^3\)
b, \(\left(a^3-2a^2+a-1\right)\left(a-5\right)\)
\(=a^4-2a^3+a^2-a-5a^3+10a^2-5a+5\)
\(=a^4-7a^3+11a^2-6a+5\)
c, \(\left(x^2-2x+y^2\right)\left(x-y\right)-3xy\left(y-x\right)\)
\(=x^3-2x^2+xy^2-x^2y+2xy-y^3-3xy^2+3x^2y\)
\(=x^3-2x^2-2xy^2-2x^2y+2xy-y^3\)
Bài 2:
a, \(\left(12x-5\right)\left(x+1\right)+\left(6x-2\right)\left(3-2x\right)=5\)
\(\Rightarrow12x^2+12x-5x-5+18x-12x^2-6+4x=5\)
\(\Rightarrow29x=5+5+6\)
\(\Rightarrow29x=16\Rightarrow x=\dfrac{16}{29}\)
b, \(\left(x-5\right)\left(2x+3\right)-2x\left(x-3\right)+x+7=-8\)
\(\Rightarrow2x^2+3x-10x-15-2x^2+6x+x+7=-8\)
\(\Rightarrow0x=-8\Rightarrow x\in\varnothing\)
Chúc bạn học tốt!!!
cảm ơn bạn nhiều nhé