Question

Expand the following algebraic expressions.

$- \frac{r}{8} (2s - 8)$
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Answer 1

Answer:

$\frac{-sr}{4} + r$

Step-by-step explanation:

To expand:

$-\frac{r}{8}(2s - 8)$

Method to expand:

When we are multiplying a monomial with a binomial, we multiply the monomial with each of the terms of the binomial.

⇒ $(-\frac{r}{8} * 2s) + (-\frac{r}{8} * -8)$

⇒ $\frac{-2sr}{8} + \frac{8r}{8}$

⇒ $\frac{-sr}{4} + r$           (Simplifying)

Hope it helps!

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Given below is an image to understand the multiplication of monomials and binomials better.