Question

Simplifique as expressões:
e) (x - 4)² - (x - 1)²
f) (x + 1)² - (x - 2)²
g) (m - 1)² - (m – 1) ( m +1)
h) (x + 4) (x – 4) - (x - 4)²

POR FAVOR GALERA!

Answer 1

Explicação passo-a-passo:

E)(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

F)(x+1).(x+1)-(x-2).(x-2)

x²+x+x+1-(x²-2x-2x+4)

x²+2x+1-(x²-4x+4)

x²+2x+1-x²+4x-4___anula x²-x²

6x-3

G)(m-1).(m-1)-(m-1).(m+1)

m²-m-m+1-(m²+m-m-1)

m²-2m+1-(m²-1)

m²-2m+1-m²+1___anula m²-m²

-2m+1+1

-2m+2

H)(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