Factor completely.
\[
10 v^{6}-26 v^{5}-12 v^{4}
\]

Answer

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Answer

So, the completely factored form of the expression is \(\boxed{2v^{4}(v-2)(5v+3)}\)

Steps

Step 1 ：First, we combine like terms in the expression: \begin{align*} 10 v^{6}-26 v^{5}-12 v^{4} \end{align*}

Step 2 ：We can factor out a \(2v^{4}\) from the expression, to get \begin{align*} 2v^{4}(5v^{2}-13v-6) \end{align*}

Step 3 ：Then, we factor the quadratic expression \(5v^{2}-13v-6\) to get \((v-2)(5v+3)\)

Step 4 ：So, the completely factored form of the expression is \(\boxed{2v^{4}(v-2)(5v+3)}\)