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[50 POINTS] Factor completely 16x2 + 40x + 25. (4x − 5)(4x − 5) (2x − 5)(2x − 5) (2x + 5)(2x + 5) (4x + 5)(4x + 5)
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4 votes
[50 POINTS]

Factor completely 16x2 + 40x + 25.

(4x − 5)(4x − 5)
(2x − 5)(2x − 5)
(2x + 5)(2x + 5)
(4x + 5)(4x + 5)

User Russ Egan
by
8.3k points

2 Answers

2 votes
A^2 + 2AB + B^2 = (A + B)^2 ==>

16X^2 + 40X + 25 =
= (4X)^2 + 2*4*5X + 5^2 =
= (4X + 5)^2

(4x + 5)(4x + 5)
User Bmalicoat
by
8.5k points
5 votes
(4x + 5)(4x + 5) is your final answer.

Hope this helps.

User Mathematics
by
8.1k points
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