Distribute ( - 5a + 2a {}^2 - 2)(2a - 4)distribute

Question

Distribute
`( - 5a + 2a {}^2 - 2)(2a - 4)`distribute

Answer 1

The given expression is

`(-5a+2a^2\text{ - 2)(2a - 4)}`

To distribute, we would multiply the terms in each bracket individually and add or subtract where necessary. It becomes

`\begin{gathered} -\text{ 5a}*2a\text{ + (-5a}*-4)+(2a^2*2a)+(2a^2*-4)+(-2*2a)+(-2*-4) \\ -10a^2+20a+4a^3-8a^2-4a+8 \\ 4a^3-10a^2-8a^2+20a-4a+8 \\ 4a^3-18a^2+16a\text{ + 8} \end{gathered}`