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

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

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

\(=\left(4x-8\right)^2\)

1) \(\left(x+1\right)\left(x+2\right)-3x\left(x-4\right)=x^2+3x+2-3x^2+12x=-2x^2+15x+2\)

2) \(\left(3x-4\right)\left(x-2\right)=3x\left(x-9\right)\)

\(\Leftrightarrow3x^2-10x+8=3x^2-27x\)

\(\Leftrightarrow17x=-8\Leftrightarrow x=-\dfrac{8}{17}\)

3) \(-3\left(x-4\right)\left(x-2\right)-x^2\left(-3x+18\right)+24x-25\)

\(=-3x^3+6x^2+12x^2-24x+3x^3-18x^2+24x-25=-25\)

a) (x²-1)(x²+4)(x²-4)=(x²-1)(x⁴-16)

b) 9x²+6x+1+4-9x²= 6x+5

\(a,A=4-4x+x^2+6x^2-8x-8+9x^2+12x+4\\ A=16x^2\\ b,x=-\dfrac{1}{2}\Leftrightarrow A=16\cdot\dfrac{1}{4}=4\)

a: \(A=x^2-4x+4+9x^2-12x+4+2\left(3x^2+2x-6x-4\right)\)

\(=10x^2-16x+8+6x^2-8x-8\)

\(=16x^2-24x\)

b: \(A=16\cdot\dfrac{1}{4}-24\cdot\dfrac{-1}{2}=4+12=16\)

TXĐ: \(\left\{{}\begin{matrix}x\in R\\x\notin\left\{0;-1\right\}\end{matrix}\right.\)

a: Ta có: \(A=\dfrac{3x^2-12x+12}{x^2-4}\)

\(=\dfrac{3\left(x^2-4x+4\right)}{\left(x-2\right)\left(x+2\right)}\)

\(=\dfrac{3x-6}{x+2}\)

b: Thay \(x=-\dfrac{1}{2}\) vào A, ta được:

\(A=\left(3\cdot\dfrac{-1}{2}-6\right):\left(-\dfrac{1}{2}+2\right)\)

\(=\left(-\dfrac{3}{2}-6\right):\dfrac{3}{2}\)

\(=\dfrac{-15}{2}\cdot\dfrac{2}{3}=-5\)

a: =12x^3y^2-12x^3y^3+6x^2y^2

b: =\(\left(-3x+2\right)\left(5x^2-\dfrac{1}{3}x+4\right)\)

=-15x^3+x^2-12x+10x^2-2/3x+8

=-15x^3+11x^2-38/3x+8

c: =x^2-x-2+3x-x^2

=2x-2

a: =18x^3y^2-12x^3y^3+6x^2y^2

b: (-3x+2)(5x^2-1/3x+4)

=-12x^3+x^2-12x+10x^2-2/3x+8

=-12x^3+11x^2-38/3x+8

c: =x^2-x-2+3x-x^2

=2x-2

d: =4x^2+12x+9-4x^2+25-(x-1)(x^2+12)

=12x+34-x^3-12x+x^2+12

=-x^3+x^2+46