Question

How do you simplify `7x ( 8x - 3) + 5( 8x - 3)`?

Answer 1

See a solution process below:

Explanation:

First, eliminate the parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis. Be careful to handle the signs of each term correctly:

`color(red)(7x)(8x - 3) + color(blue)(5)(8x - 3) =>`

`(color(red)(7x) xx 8x) - (color(red)(7x) xx 3) + (color(blue)(5) xx 8x) - (color(blue)(5) xx 3) =>`

`56x^2 - 21x + 40x - 15`

Now, combine like terms:

`56x^2 + (-21 + 40)x - 15 =>`

`56x^2 + 19x - 15`