Question

2. Simplifique as expressões.
a) (x − 4)² − (x − 1)²
b) (x + 4). (x − 4) − (x − 4)²

Answer 1

Explicação passo a passo

Answer 2

Resposta:

a) (x − 4)² − (x − 1)²

(x-4)²-(x-1)²=

(x-4).(x-4)-(x-1).(x-1)

x²-4x-4x+16-(x²-x-x+1)  

x²-8x+16-(x²-2x+1)

x²-8x+16-x²+2x-1___anula x²-x²

-6x-15

b) (x + 4). (x − 4) − (x − 4)²

(x+4).(x-4)-(x-4).(x-4)  

x²-4x+4x-16-(x²-4x-4x+16)

x²-16-(x²-8x+16)

x²-16-x²+8x-16____anula x²-x²

8x-32