3/8 (3)/(8) (x - 1)(x - 9) (x-1)(x-9)

Question

3/8

`(3)/(8) (x - 1)(x - 9)`
(x-1)(x-9)

Answer 1

The first step for solving this expression is to distribute
`(3)/(8)` through the first set of parenthesis.

`( (3)/(8)x - (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:

`(3)/(8)`x × x -
`(3)/(8)`x × 9 -
`(3)/(8)`x -
`(3)/(8)` × (-9)
Remember that multiplying two negatives together equals a positive,, so the expression changes to:

`(3)/(8)`x × x -
`(3)/(8)`x × 9 -
`(3)/(8)`x +
`(3)/(8)` × 9
Calculate the product of all of the sets of multiplication to make the expression become:

`(3)/(8)`x² -
`(27)/(8)`x -
`(3)/(8)`x +
`(27)/(8)`
Lastly,, calculate the difference of -
`(27)/(8)`x -
`(3)/(8)`x to find your final answer.

`(3)/(8)`x² -
`(15)/(4)`x +
`(27)/(8)`
Let me know if you have any further questions.
:)