Which will result in a difference of squares?
June 26th, 2021
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.