Divide. Write your answer in simplest form. 4n - 3/4n + 1 ÷ n^2 ______

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the second expression. So, (4n - 3)/(4n + 1) ÷ n^2 becomes (4n - 3)/(4n + 1) × 1/n^2.Multiply numerators and denominators: Multiply the numerators and then multiply the denominators. So, (4n - 3)/(4n + 1) × 1/n^2 becomes (4n - 3) / ((4n + 1) × n^2).Simplify denominator by distributing: Simplify the denominator by distributing n^2. So, (4n + 1) × n^2 becomes 4n^3 + n^2.Write in simplest form: Write the answer in the simplest form. So, (4n - 3) / ((4n + 1) × n^2) becomes (4n - 3) / (4n^3 + n^2).

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Divide. Write your answer in simplest form. $\newline$ $\frac{4n - 3}{4n + 1} \div n^2$

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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{4n - 3}{4n + 1} \div n^2

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the second expression. So, $(4n - 3)/(4n + 1) \div n^2$ becomes $(4n - 3)/(4n + 1) \times 1/n^2$ .
Multiply numerators and denominators: Multiply the numerators and then multiply the denominators. So, $(4n - 3)/(4n + 1) \times 1/n^2$ becomes $(4n - 3) / ((4n + 1) \times n^2)$ .
Simplify denominator by distributing: Simplify the denominator by distributing $n^2$ . So, $(4n + 1) \times n^2$ becomes $4n^3 + n^2$ .
Write in simplest form: Write the answer in the simplest form. So, $(4n - 3) / ((4n + 1) \times n^2)$ becomes $(4n - 3) / (4n^3 + n^2)$ .