# How do you factor #15a^3 - 6a^2b + 25ab^2 - 10b^3#?

##### 1 Answer

May 10, 2016

#15a^3-6a^2b+25ab^2-10b^3=(3a^2+5b^2)(5a-2b)#

#### Explanation:

Factor by grouping:

#15a^3-6a^2b+25ab^2-10b^3#

#=(15a^3-6a^2b)+(25ab^2-10b^3)#

#=3a^2(5a-2b)+5b^2(5a-2b)#

#=(3a^2+5b^2)(5a-2b)#