Question

Find the product 9w(-2w^2+4w-4)

Answer 1

`9w(-2w^2+4w-4)`

Using distributive property:

`\begin{gathered} 9w(-2w^2+4w-4)=9w\cdot(-2w^2)+9w\cdot4w+9w\cdot(-4) \\ \to-18w^3+36w^2-36w \end{gathered}`

Distributive property:

`a(b+c+d)=a\cdot b+a\cdot c+a\cdot d`
`x^y\cdot x^z=x^(y+z)`
`9w\cdot(-2w^2)=-18w^(1+2)=-18w^3`