How do you factor 36a236ab27b2?

2 Answers
May 19, 2017

9(2a - 3b)(2a + b)

Explanation:

Given, 36a236ab27b2=9(4a24ab3b2)

9(4a26ab+2ab3b2)

9[2a(2a3b)+b(2a3b)]

9(2a3b)(2a+b)

May 19, 2017

9(2a+b)(2a3b)

Explanation:

36a236ab27b2=9(4a24ab3b2)
->9 is a highest common factor for 36and27

we try to find the product of factor for (4 * 3 = 12), then we get
12=62,6+2=4
thereofore we replace 4ab6ab+2ab

9(4a24ab3b2)=9(4a26ab+2ab3b2)
We separate into 2 portions and factor it.
1. 4a26ab=2a(2a3b)
2. 2ab3b2=b(2a3b)
it is correct when both of them have a same of (2a3b),
therefore,
(4a26ab+2ab3b2)=2a(2a3b)+b(2a3b)=(2a+b)(2a3b)

therefore,
9(4a26ab+2ab3b2)=9(2a+b)(2a3b)