Question

Simplifique as expressões:

a)(x-2)²-(x-4)²

b) (x+2)²- (x-2)²

Answer 1

Oi

a)
(x-2)²-(x-4)²

(x-2).(x-2) - (x-4).(x-4)

x² - 4x + 4 - -x² + 8x -16

(x²-x²)+(-4x+8x)+4-16

$\boxed{\boxed{4x - 12}}$

b) (x+2)²- (x-2)²

(x+2).(x+2) - (x-2).(x-2)

x² + 2x . 2 +4 -x² +2x . 2 -4

x² + 4x +4 -x² + 4x -4

reagrupa os termos

(x²-x²) + (4x+4x) + (4-4)

$\boxed{\boxed{8x}}$