How do you factor the expression $9a^2b^3 -15ab^2+ 12a^3b^2$ ?

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Answer 1 · 2017-03-28T06:21:45

$9a^2b^3-15ab^2+12a^3b^2 = 3ab^2(3ab-5+4a^2)$

Given:

$9a^2b^3-15ab^2+12a^3b^2$

Note that all of the terms are divisible by $3$ , $a$ and $b^2$ , hence by $3ab^2$ .

So we can separate that out as a factor:

$9a^2b^3-15ab^2+12a^3b^2 = 3ab^2(3ab-5+4a^2)$

The remaining quadratic factor does not reduce any further, due to its mixture of terms in $a$ and $b$ .

How do you factor the expression 9a^2b^3 -15ab^2+ 12a^3b^29a^2b^3 -15ab^2+ 12a^3b^2?