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Burka [1]
3 years ago
9

HELP

Mathematics
1 answer:
UNO [17]3 years ago
5 0

Sophia’s work factoring a perfect square trinomial is (4x+5)^{2}.

Step-by-step explanation:

We have,

16x^2 – 40x + 25

= (4x)^2 - 2(4x)(5) + 5^{2}

Using the algebraic identity,

(a+b)^{2}=a^{2}+2ab+b^{2}

= (4x)^2 - 2(4x)(5) + 5^{2}

= (4x+5)^{2} ≠ ((x + 5)^2

Thus, Sophia’s work factoring a perfect square trinomial is (4x+5)^{2}.

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