Multiply. Simplify your answer. 15v^2/3v * 4v^2 ______

Identify Terms and Rewrite: Identify the terms to be multiplied and rewrite the multiplication expression. We have the expression (15v^2/3v) * (4v^2). We will multiply the numerators together and the denominators together.Simplify Before Multiplying: Simplify the expression before multiplying. We can simplify 15v^2/3v by canceling a common factor of 3v from the numerator and the denominator. This gives us 5v. Now we have 5v * 4v^2.Multiply Simplified Terms: Multiply the simplified terms. Multiplying 5v by 4v^2 gives us 5 * 4 * v * v^2, which is 20v^3.Check for Further Simplification: Check for any further simplification. The expression 20v^3 is already in its simplest form. There are no common factors to cancel, and the expression is fully multiplied out.Write Final Answer: Write the final answer. The simplified result of the multiplication is 20v^3.

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Math Problems

Algebra 1

Multiply and divide rational expressions

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Q. Multiply. Simplify your answer.

\newline

\frac{15v^2}{3v} \times 4v^2

Identify Terms and Rewrite: Identify the terms to be multiplied and rewrite the multiplication expression. $\newline$ We have the expression $(\frac{15v^2}{3v}) \times (4v^2)$ . We will multiply the numerators together and the denominators together.
Simplify Before Multiplying: Simplify the expression before multiplying. $\newline$ We can simplify $\frac{15v^2}{3v}$ by canceling a common factor of $3v$ from the numerator and the denominator. This gives us $5v$ . Now we have $5v \times 4v^2$ .
Multiply Simplified Terms: Multiply the simplified terms. $\newline$ Multiplying $5v$ by $4v^2$ gives us $5 \times 4 \times v \times v^2$ , which is $20v^3$ .
Check for Further Simplification: Check for any further simplification. $\newline$ The expression $20v^3$ is already in its simplest form. There are no common factors to cancel, and the expression is fully multiplied out.
Write Final Answer: Write the final answer. $\newline$ The simplified result of the multiplication is $20v^3$ .