Question

Usando a propriedade distribuitiva, calcule as multiplicação

a) (4c-a)×(4c+a)
b) (4x-3)×(6x+1)
c) (x-y)×(x^2+5y)

Answer 1

`a) \left(4c-a\right)*\left(4c+a\right)`

`=\left(4c\right)^2-a^2`

`=16c^2-a^2`

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`b) (4x-3)*(6x+1)`

`=4x* \:6x+4x* \:1+\left(-3\right)* \:6x+\left(-3\right)* \:1`

`=4* \:6xx+4* \:1* \:x-3* \:6x-3* \:1`

`=24x^2-14x-3`

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`c)(x-y)*(x^2+5y)`

`xx^2+x* \:5y+\left(-y\right)x^2+\left(-y\right)* \:5y`

`=x^2x+5xy-x^2y-5yy`

`=x^3+5xy-x^2y-5y^2`

OAmalOHopeO