Question

Desenvolva os produtos notáveis:

$a)( {y + 8})^{2}$
$b)(2x - 3) {}^{2}$
$c)(m - 1)(m + 1)$
$d)(3x - 2y {}^{2} ) {}^{2}$

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Answer 1

Explicação passo-a-passo:

a)

(y + 8)^2=(y+8).(y+8)

(y+8)²=(y)²+8.y+8.y+(8)²

(y+8)²=y²+8y+8y+64

(y+8)²=y²+16y+64

b)

(2x - 3)^2=(2x-3).(2x-3)

(2x-3)²=(2x)²+2.(2x).(-3)+(-3)²

(2x+3)²=4x²-12x+9

c)

(m - 1).(m + 1)=(m)²-1.m+1.m-(1)²

(m-1).(m+1)=m²-1m+1m-1

(m-1).(m+1)=m²+0-1

(m-1).(m+1)=m²-1

d)

(3x - 2y^2)^2=(3x-2y²).(3x-2y²)

(3x-2y²)²=(3x)²+2.(3x).(-2y²)+(-2y²)

(3x-2y²)²=9x²-12xy²+4y⁴

Espero ter ajudado!