Question

Rút gọn:

A=(x-3)²-(2x-1)(2x+1)

B=(2x-3)²-(x-1)(2x+1)

C=4x(x-3)-(4-2x)²

D=3x(x-1)(x-2)-x(2x-1)²

E=(4-x)(x+4)-(x+2)²

P=(2x+3)²-(2x+1)(2x-1)

Q=(4-3x)²-(9x-1)(9x+1)

M=(5+x) (x-5)-(x-3)²

N=2(3x+1)(x-2)-6(x+2)²

Answer 1

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

A = \(x^2-6x+9-4x^2+1=-3x^2-6x+10\)

B = \(\left(2x-3\right)^2-\left(x-1\right)\left(2x+1\right)\)

B = \(4x^2-12x+9-2x^2-x+2x+1\)

B = \(2x^2-11x+10\)

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

C = \(4x\left(x^2-6x+9\right)-16+16x-4x^2\)

C = \(4x^3-24x^2+36x-16+16x-4x^2\)

C = \(4x^3-28x^2+52x-16\)

D = \(3x\left(x-1\right)\left(x-2\right)-x\left(2x-1\right)^2\)

D = \(\left(3x^2-3x\right)\left(x-2\right)-x\left(2x-1\right)^2\)

D = \(3x^3-6x^2-3x^2+6x-x\left(4x^2-4x+1\right)\)

D = \(3x^3-9x^2+6x-4x^3+4x^2-x\)

D = \(-x^3-5x^2+5x\)