5
QuizMultiple Choice

Graphing Polynomial Functions

Question 5 • FL-1200330-Algebra 2 CR

What is the factorization of 81a6 - 100?

Answer
A
(9a2 − 10)(9a3 + 10)
B
(9a2 − 10)(9a3 − 10)
C
(9a3 − 10)(9a3 + 10)
D
(9a3 − 10)(9a3 − 10)

Explanation

Recognize 81a⁶ − 100 as a difference of squares: 81a⁶ = (9a³)² and 100 = 10². Apply x² − y² = (x − y)(x + y) to get (9a³ − 10)(9a³ + 10), which is choice C.

AI-written and checked against the verified answer.

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