34
practice examMultiple Choice

Practice Exam

Question 34 • Algebra I

What is the factorization of g cubed minus 125 ?

Answer
A
open paren g minus 5 close paren times open paren g squared plus 5 g plus 25 close paren
B
open paren g minus 25 close paren times open paren g squared plus 25 g plus 625 close paren
C
open paren g minus 25 close paren times open paren g squared plus 5 g plus 125 close paren
D
open paren g minus 5 close paren times open paren g squared plus 5 g plus 10 close paren

Explanation

Recognize g³ − 125 as a difference of cubes: g³ − 5³. Use the rule a³ − b³ = (a − b)(a² + ab + b²), giving (g − 5)(g² + 5g + 25). This matches choice A.

AI-written and checked against the verified answer.

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