Which will result in a difference of squares?

A. (–7x + 4)(–7x + 4)

B. (–7x + 4)(4 – 7x)

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C. (–7x + 4)(–7x – 4)

D. (–7x + 4)(7x – 4)

Expert Answer

A difference in squares is given by (a^2-b^2), every problem that can be factored as the equation is a difference of squares problem, so one need to find which numbers squares, (a-b)(a+b) or (a+b)(a-b) thus the equation C,

=(-7x+4)(-7x-4)

49x^2+28X-28x-16

=49x^2-16

=(7x-4)(7x+4)

Thus, the problem has taken the factored out square shown.

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