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3 years ago

Factor 64v^3 + 192v^2 -56v - 168

Mathematics

1 answer:

Kaylis [27]3 years ago

4 0

Hello from MrBillDoesMath!

Answer:

8(v+3) ( -1/2 (sqrt(14) - 4 v) (4 v + sqrt(14)) )

Discussion:

Given

64v^3 + 192v^2 - 56 v - 168

Factor 64v^2 from the first two terms. Factor 56 from the last two terms:

64v^2(v+3) - 56(v + 3) => factor (v+3) from both terms

(v+3) (64v^2 - 56) => factor 8 from both terms in the right ()

8(v+3)(8v^2-7) => factor 8y^2-7

8(v+3) ( -1/2 (sqrt(14) - 4 v) (4 v + sqrt(14)) )

Thank you,

MrB

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3 years ago

Factor 64v^3 + 192v^2 -56v - 168​

Factor 64v^3 + 192v^2 -56v - 168