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Factor 2t^(3)v-10t^(2)v+12 tv completely.

Factor 2t3v−10t2v+12tv2t^{3}v-10t^{2}v+12tv completely.

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Find derivatives of using multiple formulaeright chevron icon

Full solution

Q. Factor 2t3v−10t2v+12tv2t^{3}v-10t^{2}v+12tv completely.
  1. Identify Factors: Identify common factors in all terms.\newline2t3v−10t2v+12tv=2tv(t2−5t+6)2t^{3}v - 10t^{2}v + 12tv = 2tv(t^2 - 5t + 6)
  2. Factorize Quadratic Expression: Factorize the quadratic expression inside the parentheses.\newlinet2−5t+6t^2 - 5t + 6 can be factored as (t−2)(t−3)(t - 2)(t - 3).\newline2tv(t2−5t+6)=2tv(t−2)(t−3)2tv(t^2 - 5t + 6) = 2tv(t - 2)(t - 3)

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