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Multiply. \[ 2 x^{7} v^{7} \cdot 3 v^{3}-4 x \] Simplify your answer as much as possible

Ask by Chen Hamilton. in the United States
Feb 09,2025

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The simplified answer is \( 6x^{7}v^{10} - 4x \).

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Let's start by multiplying the two parts of the expression: \[ 2 x^{7} v^{7} \cdot 3 v^{3} - 4 x. \] First, we handle the multiplication: \[ 2 x^{7} v^{7} \cdot 3 v^{3} = 6 x^{7} v^{7+3} = 6 x^{7} v^{10}. \] Now, rewrite the expression with the second part: \[ 6 x^{7} v^{10} - 4 x. \] Next, we can't factor out anything directly since the terms are not similar, but we can present the result in a clearer form: \[ 6 x^{7} v^{10} - 4 x. \] This is the final simplified expression.

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