Question

a) (x - 4)2 – (x - 1)2
b) (x + 1)2 - (x - 2)2
c) (-x + 3)2 - 2x(4 - x)​

Answer 1

Resposta:

Explicação passo-a-passo:

A) (x - 4)^2 – (x - 1)^2

= x^2 - 2.4x + 16 - (x^2 - 2x + 1)

= x^2 - 8x + 16 - x^2 + 2x - 1

= - 6x + 15

b) (x + 1)^2 - (x - 2)^2

= x^2 + 2x + 1 - (x^2 - 2.2x + 4)

= x^2 + 2x + 1 - (x^2 - 4x + 4)

= x^2 + 2x + 1 - x^2 + 4x - 4

= 6x - 3

c) (-x + 3)^2 - 2x(4 - x)​

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

= 9 - 2.3x + x^2 - 8x + 2x^2

= 9 - 6x + 3x^2 - 8x

= 3x^2 - 14x + 9