Question

Multiply the following by applying the distributive property.- 3a(4a² – 4a+2)=

Answer 1

`-12a^3_{}+12a^2-6a`

Given:

`-3a(4a^2-4a+2)`

The distributive property is defined as:

`a(b+c)=ab+ac`

Applying this to our given expression and we will have:

`\begin{gathered} -3a(4a^2-4a+2) \\ (-3a)4a^2-(-3a)4a+(-3a)2 \\ -12a^3_{}+12a^2-6a \end{gathered}`

Therefore, the answer is:

`-12a^3_{}+12a^2-6a`