Multiply. Write your answer in simplest form. 3u - 5/4 * u ______

Rewrite Expression: Rewrite the multiplication expression to make it clearer. We have (3u - 5/4) * u.Distribute Terms: Distribute the u to both terms inside the parentheses. This means we multiply u by 3u and then u by -5/4. So, (3u * u) - (5/4 * u).Calculate First Term: Calculate the first term, which is 3u * u. Multiplying these together gives us 3u^2.Calculate Second Term: Calculate the second term, which is -5/4 * u. Multiplying these together gives us -5u/4.Combine Terms: Combine the two terms to get the final expression. So, 3u^2 - 5u/4 is the product in its simplest form.

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Multiply. Write your answer in simplest form. $\newline$ $\frac{3u - 5}{4} \times u$

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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{3u - 5}{4} \times u

Rewrite Expression: Rewrite the multiplication expression to make it clearer. We have $(3u - \frac{5}{4}) \times u$ .
Distribute Terms: Distribute the $u$ to both terms inside the parentheses. This means we multiply $u$ by $3u$ and then $u$ by $-\frac{5}{4}$ . So, $(3u \cdot u) - (\frac{5}{4} \cdot u)$ .
Calculate First Term: Calculate the first term, which is $3u \times u$ . Multiplying these together gives us $3u^2$ .
Calculate Second Term: Calculate the second term, which is $-\frac{5}{4} \times u$ . Multiplying these together gives us $-\frac{5u}{4}$ .
Combine Terms: Combine the two terms to get the final expression. So, $3u^2 - \frac{5u}{4}$ is the product in its simplest form.