Math  /  Algebra

QuestionFactor Completely 8g3+2g28g28 g^{3}+2 g^{2}-8 g-2
Answer Attempt 1 out of 2

Studdy Solution
Factor the expression 2g222g^2 - 2 further by taking out the GCF, which is 22:
2(g21) 2(g^2 - 1)
Recognize that g21g^2 - 1 is a difference of squares:
g21=(g1)(g+1) g^2 - 1 = (g - 1)(g + 1)
Thus, the completely factored form of the polynomial is:
2(g1)(g+1)(4g+1) 2(g - 1)(g + 1)(4g + 1)

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