Multiply. Write your answer in simplest form. s/8 * (2s - 5) ______

Multiply Fraction by Binomial: Multiply the fraction s/8 by the binomial (2s - 5). To multiply a fraction by a binomial, we multiply the numerator of the fraction by each term in the binomial and place the result over the original denominator. Calculation: (s/8) * (2s - 5) = (s * 2s)/8 - (s * 5)/8 = (2s^2)/8 - (5s)/8.Simplify Multiplication Results: Simplify the terms obtained from the multiplication. We can simplify each term by dividing the coefficients by the denominator if possible. Calculation: (2s^2)/8 - (5s)/8 = s^2/4 - 5s/8.Write Final Answer: Write the final answer in the simplest form. Since the terms s^2/4 and 5s/8 have different denominators, we cannot combine them further. Therefore, the expression is already in its simplest form. Final Answer: s^2/4 - 5s/8.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Multiply. Write your answer in simplest form. $\newline$ $\frac{s}{8} \times (2s - 5)$

View step-by-step help

Home

Math Problems

Algebra 1

Multiply and divide rational expressions

Full solution

Q. Multiply. Write your answer in simplest form.

\newline

\frac{s}{8} \times (2s - 5)

Multiply Fraction by Binomial: Multiply the fraction $\frac{s}{8}$ by the binomial $(2s - 5)$ . To multiply a fraction by a binomial, we multiply the numerator of the fraction by each term in the binomial and place the result over the original denominator. Calculation: $\frac{s}{8} \times (2s - 5) = \frac{s \times 2s}{8} - \frac{s \times 5}{8} = \frac{2s^2}{8} - \frac{5s}{8}$ .
Simplify Multiplication Results: Simplify the terms obtained from the multiplication. $\newline$ We can simplify each term by dividing the coefficients by the denominator if possible. $\newline$ Calculation: $(2s^2)/8 - (5s)/8 = s^2/4 - 5s/8$ .
Write Final Answer: Write the final answer in the simplest form. $\newline$ Since the terms $\frac{s^2}{4}$ and $\frac{5s}{8}$ have different denominators, we cannot combine them further. Therefore, the expression is already in its simplest form. $\newline$ Final Answer: $\frac{s^2}{4} - \frac{5s}{8}$ .