Question

Produtos Notáveis :D
a) (2x-y)²=
b) (x+4)²=
c) (x+4)(x-4)=
d) (y+3x)³=

Answer 1

a)
= (2x - y)²
= (2x)² - 2.2x.y + y²
= 4x² - 4xy + y²

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b)
= (x + 4)²
= x² + 2.4.x + 4²
= x² + 8x + 16

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c)
= (x + 4).(x - 4)
= x² - 4x + 4x - 16
= x² - 16

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d)
= (y + 3x)³

= (y + 3x)².(y + 3x)

= (y² + 2.3x.y + 9x²).(y + 3x)

= (y² + 6xy + 9x²).(y + 3x)

= y².y + y².3x + 6xy.y + 6xy.3x + 9x².y + 9x².3x

= y³ + 3xy² + 6xy² + 18x²y + 9x²y + 27x³