How do you factor $3 a + 3 b + a b + b^{2}$ $3a+3b+ab+b ^2$ ?

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How do you factor $3 a + 3 b + a b + b^{2}$ $3a+3b+ab+b ^2$ ?

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Answer 1 · 2016-05-20T18:55:29

See below.

Explanation:

Starting with $3 a + 3 b + a b + b^{2}$ $3a+3b+ab+b^2$
We can factor out the $3$ $3$ 's and $b$ $b$ 's like so:
$3 (a + b) + b (a + b)$ $3(a+b)+b(a+b)$
Then finally we can factor by $(a + b)$ $(a+b)$ :
$(3 + b) (a + b)$ $(3+b)(a+b)$

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How do you factor $3 a + 3 b + a b + b^{2}$ $3a+3b+ab+b ^2$ ?

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Explanation:

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How do you factor $3 a + 3 b + a b + b^{2}$ $3a+3b+ab+b ^2$ ?