Factor each polynomial. (2a-1)^{3}+8

William Boggs

William Boggs

Answered question

2021-12-10

Factor each polynomial.
(2a1)3+8

Answer & Explanation

xandir307dc

xandir307dc

Beginner2021-12-11Added 35 answers

Step 1
Given:
(2a1)3+8
Step 2
To factor the polynomial:
Since both terms are perfect cubes, factor using the sum of cubes formula,
a3+b3=(a+b)(a2ab+b2)
(2a1)3+8=(2a1)3+23 Here, a=2a-1 and b=2
(2a1)3+8=(2a1)((2a1)2(2a1)(2)+22)
=(2a1)(4a24a+14a+2+4)
=(2a1)(4a28a+7)
Answer:
(2a1)(4a28a+7)

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