Divide. Write your answer in simplest form. 4y + 1/y^2 ÷ (2y - 1) ______

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the divisor. So, (4y + 1)/y^2 ÷ (2y - 1) becomes (4y + 1)/y^2 × 1/(2y - 1).Multiply numerators and denominators: Multiply the numerators and then multiply the denominators. So, (4y + 1)/y^2 × 1/(2y - 1) becomes (4y + 1) × 1 / (y^2 × (2y - 1)).Simplify expression: Simplify the expression if possible. In this case, there are no common factors to cancel out, so the expression remains as is: (4y + 1) / (y^2(2y - 1)).Final answer: Write the answer in the simplest form. The expression is already in its simplest form, so the final answer is (4y + 1) / (y^2(2y - 1)).

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

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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{4y + 1}{y^2} \div (2y - 1)

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the divisor. So, $(4y + 1)/y^2 \div (2y - 1)$ becomes $(4y + 1)/y^2 \times 1/(2y - 1)$ .
Multiply numerators and denominators: Multiply the numerators and then multiply the denominators. So, $(4y + 1)/y^2 \times 1/(2y - 1)$ becomes $(4y + 1) \times 1 / (y^2 \times (2y - 1))$ .
Simplify expression: Simplify the expression if possible. In this case, there are no common factors to cancel out, so the expression remains as is: $(4y + 1) / (y^2(2y - 1))$ .
Final answer: Write the answer in the simplest form. The expression is already in its simplest form, so the final answer is $(4y + 1) / (y^2(2y - 1))$ .