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Factor completely 12a^3d^2 − 6ad^3. Prime6a^3d^3(2a − d)6ad^2(2ad − d)6ad^2(2a^2 − d)

1 Answer

4 votes

In order to factor this binomial, we need to find the common factors between each term.

Looking at the terms, we can see that each one has the factor 6ad^2.

Therefore, after factoring 6ad^2 from each term, we have:


\begin{gathered} 12a^3d^2−6ad^3\\ \\ =6ad^2((12a^3d^2−6ad^(3.))/(6ad^2))\\ \\ =6ad^2(2a^2-d) \end{gathered}

Therefore the correct option is the fourth one: 6ad^2(2a^2 − d)

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