Multiply. Write your answer in simplest form. p + 3/p^2 * p^2/7p + 21 ______

Rewrite Problem: Rewrite the multiplication problem to clarify what we are doing. We have (p + 3)/p^2 * p^2/(7p + 21).Factor Denominator: Factor out the common factor in the denominator of the second fraction. The denominator 7p + 21 can be factored as 7(p + 3). So, the second fraction becomes p^2/7(p + 3).Multiply Numerators: Multiply the numerators and the denominators of the two fractions. The expression becomes ((p + 3) * p^2) / (p^2 * 7(p + 3)).Cancel Common Factors: Cancel out the common factors in the numerator and the denominator. The p + 3 in the numerator and denominator cancels out, as does the p^2. The expression simplifies to 1/7.

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Multiply. Write your answer in simplest form. $\newline$ $\frac{p + 3}{p^2} \times \frac{p^2}{7p + 21}$

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Algebra 2

Multiply and divide rational expressions

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Q. Multiply. Write your answer in simplest form.

\newline

\frac{p + 3}{p^2} \times \frac{p^2}{7p + 21}

Rewrite Problem: Rewrite the multiplication problem to clarify what we are doing. $\newline$ We have $(p + 3)/p^2 \times p^2/(7p + 21)$ .
Factor Denominator: Factor out the common factor in the denominator of the second fraction. $\newline$ The denominator $7p + 21$ can be factored as $7(p + 3)$ . $\newline$ So, the second fraction becomes $\frac{p^2}{7(p + 3)}$ .
Multiply Numerators: Multiply the numerators and the denominators of the two fractions. The expression becomes $\frac{(p + 3) \cdot p^2}{p^2 \cdot 7(p + 3)}$ .
Cancel Common Factors: Cancel out the common factors in the numerator and the denominator. $\newline$ The $p + 3$ in the numerator and denominator cancels out, as does the $p^2$ . $\newline$ The expression simplifies to $\frac{1}{7}$ .