Question

3/8ac{3}{8} (x - 1)(x - 9)" alt=" \frac{3}{8} (x - 1)(x - 9)" align="absmiddle" class="latex-formula">
(x-1)(x-9)

Answer 1

The first step for solving this expression is to distribute $\frac{3}{8}$ through the first set of parenthesis.
$( \frac{3}{8}x - \frac{3}{8})$ × (x - 9)
Now use the FOIL method to multiply each term in the first parenthesis by each term in the second parenthesis. This will look like the following:
$\frac{3}{8}$x × x - $\frac{3}{8}$x × 9 - $\frac{3}{8}$x - $\frac{3}{8}$ × (-9)
Remember that multiplying two negatives together equals a positive,, so the expression changes to:
$\frac{3}{8}$x × x - $\frac{3}{8}$x × 9 - $\frac{3}{8}$x + $\frac{3}{8}$ × 9
Calculate the product of all of the sets of multiplication to make the expression become:
$\frac{3}{8}$x² - $\frac{27}{8}$x - $\frac{3}{8}$x + $\frac{27}{8}$
Lastly,, calculate the difference of - $\frac{27}{8}$x - $\frac{3}{8}$x to find your final answer.
$\frac{3}{8}$x² - $\frac{15}{4}$x + $\frac{27}{8}$
Let me know if you have any further questions.
:)