How do you combine like terms for $3x^2 + 21x + 5x + 10x^2$ ?

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Answer 1 · 2018-05-15T12:09:07

See a solution process below:

First, group like terms;

$3color(red)(x^2) + 10color(red)(x^2) + 21color(blue)(x) + 5color(blue)(x)$

Now, combine the coefficients of the like terms:

$(3 + 10)color(red)(x^2) + (21 + 5)color(blue)(x)$

$13color(red)(x^2) + 26color(blue)(x)$

Answer 2 · 2018-05-15T12:09:27

Looks like you've already splitted the middle term

But splitting isn't what we need here.... add them up
$13x^2+26x$
Notice that both have $13x$ as common...
Factorize
$13x(x+2)$

How do you combine like terms for 3x^2 + 21x + 5x + 10x^23x^2 + 21x + 5x + 10x^2?