Multiply. Write your answer in simplest form. 4y - 3/y * (y - 1) ______

Rewrite multiplication: Rewrite the multiplication of the two fractions. Calculation: (4y - 3)/y * (y - 1)/1.Multiply numerators and denominators: Multiply the numerators together and the denominators together. Calculation: Numerator = (4y - 3) * (y - 1), Denominator = y * 1.Expand using distributive property: Expand the numerator using the distributive property. Calculation: (4y - 3) * (y - 1) = 4y(y) - 4y(1) - 3(y) + 3(1) = 4y^2 - 4y - 3y + 3.Combine like terms: Combine like terms in the expanded numerator. Calculation: 4y^2 - 4y - 3y + 3 = 4y^2 - 7y + 3.Write simplified fraction: Write the simplified numerator over the denominator. Calculation: (4y^2 - 7y + 3)/y.Check for common factors: Check if the numerator and denominator have any common factors that can be canceled out. Since y is a factor of the denominator and there is no y term that can be factored out from the numerator, we cannot simplify further.

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Algebra 1

Multiply and divide rational expressions

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Q. Multiply. Write your answer in simplest form.

\newline

\frac{4y - 3}{y} \times (y - 1)

Rewrite multiplication: Rewrite the multiplication of the two fractions. $\newline$ Calculation: $(\frac{4y - 3}{y}) \times (\frac{y - 1}{1})$ .
Multiply numerators and denominators: Multiply the numerators together and the denominators together. $\newline$ Calculation: Numerator = $(4y - 3) \times (y - 1)$ , Denominator = $y \times 1$ .
Expand using distributive property: Expand the numerator using the distributive property. $\newline$ Calculation: $(4y - 3) \times (y - 1) = 4y(y) - 4y(1) - 3(y) + 3(1) = 4y^2 - 4y - 3y + 3$ .
Combine like terms: Combine like terms in the expanded numerator. $\newline$ Calculation: $4y^2 - 4y - 3y + 3 = 4y^2 - 7y + 3$ .
Write simplified fraction: Write the simplified numerator over the denominator. $\newline$ Calculation: $(4y^2 - 7y + 3)/y$ .
Check for common factors: Check if the numerator and denominator have any common factors that can be canceled out. $\newline$ Since $y$ is a factor of the denominator and there is no $y$ term that can be factored out from the numerator, we cannot simplify further.