`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`

A = (2x + 3)² + (3x - 2)² + 2(2x + 3)(3x - 2) = (2x + 3 + 3x - 2)² = (5x + 1)²

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

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

\(=5x^2-12x+13\)

b) \(3x\left(5x-2\right)-\left(2x^2-1\right)\left(2-x\right)\)

\(=15x^2-6x-\left(4x^2-2x^3-2+x\right)\)

\(=15x^2-6x-4x^2+2x^3+2-x\)

\(=11x^2-7x+2x^3+2\)

\(a,\left(x-5\right)\left(2x+1\right)-2x\left(x-3\right)\\ =x.2x-5.2x+x-5-2x.x-2x.\left(-3\right)\\ =2x^2-10x+x-5-2x^2+6x\\ =2x^2-2x^2-10x+x+6x-5\\ =-3x-5\)

\(b,\left(2+3x\right)\left(2-3x\right)+\left(3x+4\right)^2\\ =\left[2^2-\left(3x\right)^2\right]+\left[\left(3x\right)^2+2.3x.4+4^2\right]\\=4-9x^2+\left(9x^2+24x+16\right)\\ =24x+20\)

a) \(\left(x+3\right)\left(x-1\right)-x\left(x-5\right)=x^2+2x-3-x^2+5x=7x-3\)

b) \(\left(2x-3\right)\left(2x+3\right)-4\left(x+2\right)^2=4x^2-9-4x^2-16x-16=-16x-25\)

c) \(=x^3-3x^2+3x-1-x^3-8+3x^2=3x-9\)

A = (2x - 1)(x + 2) - 3x² + (x - 1)²

= 2x² + 4x - x - 2 - 3x² + x² - 2x + 1

= (2x² - 3x² + x²) + (4x - x - 2x) + (-2 + 1)

= x - 1

B = (x - 2)(x² + 2x + 4) - (x³ + x²) - (3 - x)(3 + x)

= x³ - 8 - x³ - x² - 9 + x²

= (x³ - x³) + (-x² + x²) + (-8 - 9)

= -17

A = (2x - 1)(x + 2) - 3x² + (x - 1)²

= 2x² + 4x - x - 2 - 3x² + x² - 2x + 1

= (2x² - 3x² + x²) + (4x - x - 2x) + (-2 + 1)

= x - 1

B = (x - 2)(x² + 2x + 4) - (x³ + x²) - (3 - x)(3 + x)

= x³ - 8 - x³ - x² - 9 + x²

= (x³ - x³) + (-x² + x²) + (-8 - 9)

= -17

kết quả đây

chúc bạn học tốt

PT<=>6x^2-9x+x^2-2x+4

=7x^2-11x+4

=7x^2-7x-4x+4

=7x(x-1)-4(x-1)

=(x-1)(7x-4)

a: Ta có: \(3x\left(2x+1\right)+\left(2x-3\right)\left(x+1\right)\)

\(=6x^2+3x+2x^2+2x-3x-3\)

\(=8x^2+2x-3\)