gamer56
Answered

Determine if the expression is a perfect square and if it is, factor it.

a2 – 8a + 16


A.

(a + 4)(a – 4)


B.

(4a + 1)2


C.

(a – 4)(a – 4)


D.

not a perfect square

Verified Answer :

The answer is C. With FOIL, F would be aa (a^2), O would be a-4 (-4a), I would be -4a (-4a), and L would be -4-4 (16). Both -4a and -4a have the same variable (a) so would combine to make -8a. You would then end up with a^2-8a+16.

a²-8a+16
=(a-4)(a-4)
=a²-4a-4a-[-[4•4]]

=a²-8a+16


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answer =C

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