= 4x^2 + 20x + 25 + 3x^2 - 12

= x^2 + 20x + 13

\(x\ne0\)

chia 2x

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

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

\(=\left(2x^2+3x-10x-15\right)-\left(2x^2-6x\right)+x-7\)

\(=2x^2-7x-15-2x^2+6x+x-7\)

\(=-22\)

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

\(=2x^2+3x-10x-15-\left(2x^2-6\right)+x-7\)

\(=2x^2+3x-10x-15-2x^2+6x+x-7\)

\(=\left(2x^2-2x^2\right)+\left(3x-10x+6x+x\right)-15-7\)

\(=-22\)

\(\hept{\begin{cases}\frac{x^2}{2}-\frac{1}{2}=y\left(1-x-y\right)\\x\left(3x+2y-2\right)=y^2-y+5\end{cases}}\)

a) (3x - 5)(2x + 11) - (2x + 3)(3x + 7)

= 6x² + 33x - 10x - 55 - 6x² - 14x - 9x - 21

= -76

b) (x - 5)(2x + 3) - 2x(x - 3) + x + 7

= 2x² + 3x - 10x - 15 - 2x₂ + 6x + x + 7

= -8

a) (x-1)^2/x-1 + (x+1)^2/x+1 - 3

= x-1 + x+1 - 3

= 2x - 3

b) Tahy x=2 vào A ta có:

A = 2 . 2 - 3 = 1

Vậy..............

Answer:

\(A=\frac{x^2-2x+1}{x-1}+\frac{x^2+2x+1}{x+1}-3\)

\(ĐKXĐ:x\ne\pm1\)

\(A=\frac{\left(x-1\right)^2}{x-1}+\frac{\left(x+1\right)^2}{x+1}-3\)

\(=x-1+x+1-3\)

\(=2x-3\)

Thay vào ta được:

\(2.2-3\)

\(=4-3\)

\(=1\)

a)\(ĐKXĐ:x=\pm1\)

\(A=\frac{x^2-2x+1}{x-1}+\frac{x^2+2x+1}{x+1}-3\)

\(=\frac{\left(x-1\right)^2}{x-1}+\frac{\left(x+1\right)^2}{x-1}-3\)

\(=x-1+x+1-3\)

\(=2x-3\)

b,Để A=2 thì

2x-3=2

<=>2x=5

<=>x=5/2(t/m ĐKXĐ)

`Answer:`

`a)`

`A=5(x+1)^2-3(x-3)^2-4(x^2-4)`

`=>A=5(x^2+2x+1)-3(x^2-6x+9)-4x^2+16`

`=>A=5x^2+10x+5-3x^2+18x-27-4x^2+16`

`=>A=(5x^2-3x^2-4x^2)+(10x+18x)+(5-27+16)`

`=>A=-2x^2+28x-6`

`b)`

`B=5(x+1)^2-3(x-3)^2-4(x+2)(x-2)`

`=2x(3x+5)-3(3x+5)-2x(x^2-4x+4)-[(2x)^2-3^2]`

`=6x^2+10x-9x-15-2x^3+8x^2-8x-4x^2+9`

`=(6x^2-4x^2+8x^2)-2x^3+(10x-9x-8x)+(-15+9)`

Thay `x=-7` vào ta được:

`B=10(-7)^2-2(-7)^3-7(-7)-6`

`=>B=10.49-2(-343)+49-6`

`=>B=490+686+49-6`

`=>B=1219`