# How do you factor #12x^3y^2 - 18xy^4#?

##### 1 Answer

Aug 7, 2016

#### Explanation:

By finding

#color(blue)"common factors"# of the 2 terms of the expression.• 12 and 18 have a

#color(blue)"common factor"# of 6•

#x^3" and " x " have a " color(blue)("common factor") " of "x# •

#y^2 " and " y^4" have a " color(blue)("common factor")" of " y^2# Hence the 'combined'

#color(blue)("common factor") " is " 6xy^2 #

#rArr12x^3y^2-18xy^4=6xy^2(2x^2-3y^2)#