Question

Simplify the expression –2(p + 4)2 – 3 + 5p. What is the simplified expression in standard form?

Answer 1

-2p^2 - 11 p - 35

Explanation:

Please, use " ^ " to indicate exponentiation. Thus:

–2(p + 4)^2 – 3 + 5p

Now perform the exponentiation first, obtaining:

-2(p^2 + 8p + 16) - 3 + 5p, or

-2p^2 - 16 p - 32 - 3 + 5p

Now rearrange these terms in descending order by powers of p:

-2p^2 - 11 p - 32 - 3, or

-2p^2 - 11 p - 35

Answer 2

-2p² − 11p − 35

Explanation:

Simplifying:

-2(p + 4)² − 3 + 5p

-2(p² + 8p + 16) − 3 + 5p

-2p² − 16p − 32 − 3 + 5p

-2p² − 11p − 35

This is also the standard form.