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Mathematics
Messiah
17 October, 20:23
What is the factorization of 49b^ 2 - 81?
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Pierce Stokes
17 October, 23:46
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(7b - 9) (7b + 9)
Step-by-step explanation:
Each term is a perfect square, so the expression is the difference of squares. In general, that factors as ...
p^2 - q^2 = (p - q) (p + q)
Here, you have p^2 = 49b^2, so p = 7b; and q^2 = 81, so q = 9. Then the factoring is ...
(7b - 9) (7b + 9)
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