How do you factor completely #4x^2 - 9y^2#?

1 Answer
Nov 17, 2015

Answer:

#color(blue)((2x+3y)(2x-3y)# is the factorised form of the expression

Explanation:

#4x^2-9y^2# can be also written as #(2x)^2-(3y)^2#

Now, as per identity:
#color(blue)(a^2-b^2=(a+b)(a-b)#

So , in case of our expression
#color(blue)(a=2x, b=3y#

#(2x)^2-(3y)^2=color(blue)((2x+3y)(2x-3y)#