Divide. Write your answer in simplest form. 3/8n^2 ÷ (5n + 3) ______

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the divisor. So, 3/8n^2 ÷ (5n + 3) becomes 3/8n^2 × 1/(5n + 3).Multiply numerators and denominators: Multiply the numerators and then multiply the denominators. So, 3/8n^2 × 1/(5n + 3) becomes (3 × 1)/(8n^2 × (5n + 3)).Simplify by multiplying denominators: Simplify the expression by multiplying the denominators. So, 8n^2 × (5n + 3) becomes 40n^3 + 24n^2.Write in simplest form: Write the answer in the simplest form. So, (3 × 1)/(8n^2 × (5n + 3)) becomes 3/(40n^3 + 24n^2).

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Divide. Write your answer in simplest form. $\newline$ $\frac{3}{8}n^2 \div (5n + 3)$

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Algebra 1

Multiply and divide rational expressions

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Q. Divide. Write your answer in simplest form.

\newline

\frac{3}{8}n^2 \div (5n + 3)

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the divisor. So, $\frac{3}{8n^2} \div (5n + 3)$ becomes $\frac{3}{8n^2} \times \frac{1}{(5n + 3)}$ .
Multiply numerators and denominators: Multiply the numerators and then multiply the denominators. So, $\frac{3}{8n^2} \times \frac{1}{5n + 3}$ becomes $\frac{3 \times 1}{8n^2 \times (5n + 3)}$ .
Simplify by multiplying denominators: Simplify the expression by multiplying the denominators. So, $8n^2 \times (5n + 3)$ becomes $40n^3 + 24n^2$ .
Write in simplest form: Write the answer in the simplest form. So, $(3 \times 1)/(8n^2 \times (5n + 3))$ becomes $3/(40n^3 + 24n^2)$ .