Answer:
(a+b−15)(a−b+1)
Explanation:
(a+b−15)(a−b+1)
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Solution Steps
a ^2−14a−15+16b−b^2
Consider
a^2−14a−15+16b−b^2
as a polynomial over variable a.
a
2
−14a−15+16b−b
2
Find one factor of the form a
k
+m, where a
k
divides the monomial with the highest power a
2
and m divides the constant factor −b
2
+16b−15. One such factor is a−b+1. Factor the polynomial by dividing it by this factor.
(a−b+1)(a+b−15)