# How do you factor #64x^3 + 27y^3#?

##### 1 Answer

Apr 30, 2016

#### Explanation:

This expression is a

#color(blue)" sum of cubes "" and is factorised as follows " #

#color(red)(|bar(ul(color(white)(a/a)color(black)( a^3 + b^3 = (a + b)(a^2 -ab +b^2))color(white)(a/a)|)))# now

# 64x^3 = (4x)^3" and " 27y^3 = (3y)^3 # For factorising purposes a = 4x and b = 3y

#rArr 64x^3+27y^3= (4x+3y)(16x^2-12xy+9y^2)#