How do you use the difference of two squares formula to factor #64a^2b^2 - c^2d^2#?

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Answer 1 · 2018-05-04T18:06:56

#=(8ab-cd)(8ab+cd)#

The difference of two squares formula

#color(red)( a^2 - b^2 = (a-b)(a+b) #

So

#color(green)(64 = 8^2)#

#8^2a^2b^2 - c^2d^2 = #

#(8ab)^2-(cd^2)=#

#(8ab-cd)(8ab+cd)#