Question

Calcule os seguintes produtos (se poder me ensinar)
a) 3(x+y)
b) 7(x-2y)
c) 2x(x+y)
d) 4x(a+b)
e) 2x(x²-2x+5)

Answer 1

a)3x+3y
b)7x-14y
c)2x²+2xy
d)4ax+4bx
e)4x-20

Answer 2

Aplicar a distributiva.
Segue o passo a passo:

a)
= 3.(x + y) 
= 3x + 3y

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b)
= 7.(x - 2y) 
= 7x + 7.(-2y)
= 7x - 14y

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c)
= 2x.(x + y)
= 2x.x + 2x.y
= 2x² + 2xy

***********************
d)
= 4x.(a + b)

= 4x.a + 4x.b

= 4xa + 4xb

= 4ax + 4bx

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e)
= 2x.(x² - 2x + 5)

= 2x.x² + 2x.(-2x) + 2x.5

= 2x³ - 4x² + 10x