How do you combine like terms in $(v^{2} - 5 v - 2) + (3 v^{2} - 7 v + 4)$ $(v^{2} - 5v - 2) + ( 3v^{2} - 7v + 4)$ ?

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Answer 1 · 2016-09-29T21:51:07

$4 v^{2} - 12 v + 2$ $4v^2-12v+2$

Combining like terms means adding together the terms with the same power on the variable.

We can rearrange your equation as:
$1 v^{2} - 5 v - 2 + 3 v^{2} - 7 v + 4$ $1v^2 - 5v - 2 + 3v^2 - 7v +4$

$1 v^{2} + 3 v^{2} - 5 v - 7 v - 2 + 4$ $1v^2 + 3v^2 - 5v - 7v - 2 +4$

Now we can add the like terms, so the $v^{2}$ $v^2$ term will be 1+3 and so on:

$(1 + 3) v^{2} + (- 5 - 7) v + (- 2 + 4)$ $(1+3)v^2 + (-5-7)v + (-2+4)$

Giving the solution

How do you combine like terms in (v2−5v−2)+(3v2−7v+4)(v^{2} - 5v - 2) + ( 3v^{2} - 7v + 4)?