Divide. Write your answer in simplest form. 30v - 12/v^2 ÷ 6/v^2 ______

Rewrite Division as Multiplication: Rewrite the division as multiplication by the reciprocal. The expression 30v - 12/v^2 ÷ 6/v^2 can be rewritten as (30v - 12)/v^2 * v^2/6.Simplify by Multiplying: Simplify the expression by multiplying the numerators and denominators. When we multiply (30v - 12)/v^2 * v^2/6, the v^2 terms cancel out because they are in both the numerator and the denominator. This simplifies to (30v - 12)/6.Divide Numerator by Denominator: Divide each term in the numerator by the denominator. Divide 30v by 6 to get 5v and -12 by 6 to get -2. The simplified expression is 5v - 2.Check for Common Factors: Check for any common factors that can be further simplified. There are no common factors between 5v and -2, so the expression is already in its simplest form.

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Divide. Write your answer in simplest form. $\newline$ $\frac{30v - 12}{v^2} \div \frac{6}{v^2}$

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Algebra 2

Multiply and divide rational expressions

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Q. Divide. Write your answer in simplest form.

\newline

\frac{30v - 12}{v^2} \div \frac{6}{v^2}

Rewrite Division as Multiplication: Rewrite the division as multiplication by the reciprocal. $\newline$ The expression $30v - \frac{12}{v^2} \div \frac{6}{v^2}$ can be rewritten as $(30v - 12)/v^2 \times \frac{v^2}{6}$ .
Simplify by Multiplying: Simplify the expression by multiplying the numerators and denominators. $\newline$ When we multiply $(30v - 12)/v^2 \times v^2/6$ , the $v^2$ terms cancel out because they are in both the numerator and the denominator. $\newline$ This simplifies to $(30v - 12)/6$ .
Divide Numerator by Denominator: Divide each term in the numerator by the denominator. Divide $30v$ by $6$ to get $5v$ and $-12$ by $6$ to get $-2$ . The simplified expression is $5v - 2$ .
Check for Common Factors: Check for any common factors that can be further simplified. There are no common factors between $5v$ and $-2$ , so the expression is already in its simplest form.