What is the product of #(8x-4)(8x+4)#?

1 Answer
Don't Memorise
May 3, 2016

#= 64 x^2 - 16#

Explanation:

#(8x-4)(8x+4)#

The above expression is of the form :
#color(green)((a-b)(a+b) #
where, #color(green)(a) = 8x#
#color(green)(b) = 4#

As per property:
#color(blue)((a-b)(a+b)= a^2 - b^2#

Applying the above property to the expression provided:

#(8x-4)(8x+4) = (8x)^2 - 4^2#

#= 64 x^2 - 16#

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