Question

Desenvolva:
(4y+4)^2
(a + b) . (a - b)
(x + 2)^3

Answer 1

I) (4y + 4)²
(4y)² + 2.4y.4 + 4²
16y² + 32y + 16
16(y² + 2y + 1)

II) (a + b)(a - b)
a² - ab + ab - b²
a² - b²

III)(x + 2)³
(x² + 2.x.2 + 2²)(x + 2)
(x² + 4x + 4)(x + 2)
x³ + 2x² + 4x² + 8x + 4x + 8
x³ + 6x² + 12x + 8

Answer 2

(4y+4)²=
(4y+4)*(4y+4)
16y²+16y+16y+16
16y²+32y+16

(a+b)*(a-b)=
a³-ab+ab-b²=
a²-b²

(x+2)³=
(x+2)*(x+2)*(x+2)=
(x²+2x+2x+4)*(x+2)=
x³+2x²+2x²+4x+2x²+4x+4x+8=
x³+6x²+12x+8

Espero ter ajudado :D