Factor each polynomial. (a+b)^{2}-16

sunshine022uv

sunshine022uv

Answered question

2021-12-06

Factor each polynomial.
(a+b)216

Answer & Explanation

Cleveland Walters

Cleveland Walters

Beginner2021-12-07Added 40 answers

Step 1
To factor the polynomial: (a+b)216
Solution:
Given polynomial can be written as:
(a+b)216=(a+b)242
We have identity,
a2b2=(a+b)(ab)
Using the above identity, factoring the given expression.
(a+b)216=(a+b)242
=[(a+b)+4][(a+b)-4]
=(a+b+4)(a+b-4)
Step 2
Hence, factor form of the expression (a+b)216 is (a+b+4)(a+b-4).

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