Multiply. Write your answer in simplest form. 4v/7 * (4v - 1) ______

Write Multiplication: Write the multiplication of the two expressions. We have the fraction 4v/7 and the expression (4v - 1). To multiply them, we simply multiply the numerator of the fraction by the expression. Calculation: (4v/7) * (4v - 1)Distribute 4v: Distribute the 4v across the terms in the parentheses. This means we multiply 4v by 4v and 4v by -1. Calculation: (4v * 4v) - (4v * 1) = 16v^2 - 4vPlace Result Over Denominator: Place the result of the distribution over the original denominator. Calculation: (16v^2 - 4v) / 7Check for Simplification: Check if the expression can be simplified further. In this case, there is no common factor between the terms in the numerator and the denominator, so the expression is already in its simplest form.

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Multiply. Write your answer in simplest form. $\newline$ $\frac{4v}{7} \times (4v - 1)$

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Algebra 1

Multiply and divide rational expressions

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Q. Multiply. Write your answer in simplest form.

\newline

\frac{4v}{7} \times (4v - 1)

Write Multiplication: Write the multiplication of the two expressions. We have the fraction $\frac{4v}{7}$ and the expression $(4v - 1)$ . To multiply them, we simply multiply the numerator of the fraction by the expression. $\newline$ Calculation: $(\frac{4v}{7}) \times (4v - 1)$
Distribute $4v$ : Distribute the $4v$ across the terms in the parentheses. This means we multiply $4v$ by $4v$ and $4v$ by $-1$ . $\newline$ Calculation: $(4v \times 4v) - (4v \times 1) = 16v^2 - 4v$
Place Result Over Denominator: Place the result of the distribution over the original denominator. $\newline$ Calculation: $(16v^2 - 4v) / 7$
Check for Simplification: Check if the expression can be simplified further. In this case, there is no common factor between the terms in the numerator and the denominator, so the expression is already in its simplest form.