How do you combine like terms in $(2 p^{2} + 5 p + 11) + (- p^{2} - 9 p - 4)$ $(2p ^ { 2} + 5p + 11) + ( - p ^ { 2} - 9p - 4)$ ?

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Answer 1 · 2018-06-08T00:46:29

$p^{2} - 4 p + 7$ $p^2-4p+7$

In short, when we combine terms, we need to look for terms with the same degree. We can rewrite the expression as

$2 p^{2} - p^{2} + 5 p - 9 p + 11 - 4$ $color(blue)(2p^2-p^2)+color(purple)(5p-9p)+color(red)(11-4)$

I didn't change the value of the expression, I just grouped the like terms. We can simplify these to get

$p^{2} - 4 p + 7$ $color(blue)(p^2)color(purple)(-4p)+color(red)(7)$

Hope this helps!

How do you combine like terms in (2p ^ { 2} + 5p + 11) + ( - p ^ { 2} - 9p - 4)(2p2+5p+11)+(−p2−9p−4)(2p ^ { 2} + 5p + 11) + ( - p ^ { 2} - 9p - 4)?