How do you factor #20x^3y + 30x^2y^2#?

1 Answer
Aug 26, 2017

Answer:

#20x^3y + 30x^2y^2 = 10x^2y(2x+3y)#

Explanation:

Given:

#20x^3y + 30x^2y^2#

Notice that both terms are divisible by #10#, #x^2# and #y#. So both terms are divisible by #10x^2y# and we can separate that out as a factor:

#20x^3y + 30x^2y^2 = 10x^2y(2x+3y)#

Having separated out this common factor, the remaining factor is linear and has no simpler factors.