\(a,\left(x-2\right)^2-x\left(x+2\right)=20\\ \Leftrightarrow x^2-4x+4-x^2-2x=20\\ \Leftrightarrow-6x+4=20\\ \Leftrightarrow-6x=16\\ \Leftrightarrow x=-\dfrac{8}{3}\)

\(\Leftrightarrow x^2-4x+4-x^2-2x=20\)

=>-6x=16

hay x=-8/3

\(\Leftrightarrow4x^2-12x-4x^2+9=-3\)

=>-12x=-12

hay x=1

\(4x\left(x-3\right)-\left(2x+3\right)\left(2x-3\right)=-3\)

\(4x^2-12x-4x^2+9+3=0\)

\(12-12x=0\\ \Rightarrow1-x=0\\ \Rightarrow x=1\)

a) Ta có: \(4\left(x-2\right)^2+xy-2y\)

\(=4\left(x-2\right)^2+y\left(x-2\right)\)

\(=\left(x-2\right)\left(4x-8+y\right)\)

b) Ta có: \(x\left(x-y\right)^3-y\left(y-x\right)^2-y^2\left(x-y\right)\)

\(=x\left(x-y\right)^3-y\left(x-y\right)^2-y^2\left(x-y\right)\)

\(=\left(x-y\right)\left[x\left(x-y\right)^2-y\left(x-y\right)-y^2\right]\)

b: Ta có: \(\left(4x^4-3x^3\right):\left(-x^3\right)+\left(15x^2+6x\right):3x=0\)

\(\Leftrightarrow-4x+3+5x+2=0\)

\(\Leftrightarrow x=-5\)

Trả lời

\(\left(x+y\right)^2+\left(x+y\right)^2\)

\(=x^2+2xy+y^2+x^2+2xy+y^2\)

\(=2x^2+4xy+2y^2\)

\(=2.\left(x+y\right)^2\)

Study well 

\(\left(x+y\right)^2+\left(x+y\right)^2=2\left(x+y\right)^2\)giống như \(a^2+a^2=2a^2\)thôi bạn nhé

\(\Leftrightarrow\left(3x+7\right)\left(2x-5\right)=0\)

=>x=-7/3 hoặc x=5/2

\(2x\left(3x+7\right)-15x-35=0\\ \Rightarrow2x\left(3x+7\right)-\left(15x+35\right)=0\\ \Rightarrow2x\left(3x+7\right)-5\left(3x+7\right)=0\\ \Rightarrow\left(2x-5\right)\left(3x+7\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{5}{2}\\x=-\dfrac{7}{3}\end{matrix}\right.\)

Bn ơi bn có thể giải thích câu đầu tiên đoạn sau giấu <=> đc ko?

x(x -2)(x - 1)(x + 1) = 24

=> [x(x - 1)][(x - 2)(x + 1)] = 24

=> (x^2 - x)(x^2 - x - 2) = 24

đặt x^2 - x - 1 = t

=> (t + 1)(t - 1) = 24

=> t^2 - 1 = 24

=> t^2 - 25 = 0

=> (t - 5)(t + 5) = 0

=> t = 5 hoặc t = -5

t = 5 => x^2 - x - 1 = 5

=> x^2 - x - 6 = 0

=> x^2 - 3x + 2x - 6 = 0

=> x(x - 3) + 2(x - 3) = 0

=> (x + 2)(x - 3) = 0

=> x = -2 hoặc x = 3

t = -5 => x^2 - x - 1 = -5

=> x^2 - x + 4 = 0

=> (x^2 - 1/2)^2 + 3/4 = 0 

=> (x^2 - 1/2)^2 = -3/4 (vô lí)

vậy x = -2 hoặc x = 3

tham khảo nhé:

https://h7.net/hoi-dap/toan-8/giai-phuong-trinh-x-x-1-x-1-x-2-24-faq252437.html

# mui #