2. What is the factored form of the trinomial a²--
10ab + 25b2?
A. (a + 5b) ²
B. (a - 5b)²
C. (a + 5b)(a - 5b)
D. (a - 5)²
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2. What is the factored form of the trinomial a²--
10ab + 25b2?
A. (a + 5b) ²
B. (a - 5b)²
C. (a + 5b)(a - 5b)
D. (a - 5)²
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Step-by-step explanation:
(1): "b2" was replaced by "b^2". 1 more similar replacement(s).
((a2) - 10ab) + 52b2
2.1 Factoring a2 - 10ab + 25b2
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (a - 5b)•(a - 5b)
2.2 a2 -10ab +25b2 is a perfect square
It factors into (a-5b)•(a-5b)
which is another way of writing (a-5b)2
FINAL RESULT:
(a - 5b)2
so the answer is B.