Question

Factor completely: 27ab3 - 36a2b

Answer 1

9ab(3b2 - 4a)
9a2b(3b - 4a)
9ab(3a - 4b)
ab(27b2 - 36a)

Answer 2

do you know the greatest common factor between the terms of your expression?

Answer 3

\(\large27ab^3 - 36a^2b=3*3*3*a*b*b*b-2*2*3*3*a*a*b\)

Answer 4

Now find the greatest common factor.

Answer 5

What are the common factors of \[27ab^3\] and \[36a^2b\]

Well, 9 is divisible by both 27 and 36
So that gives us:

\[9(3ab^3 - 4a^2b)\]
You can also factor out an a and a b from both sets.

So:
\[9ab(3b^2-4a)\]