Question

How do you simplify `-7x (-4x+2)+6(x-7)`?

Answer 1

See the entire solution process below:

Explanation:

First, expand the terms in parenthesis by multiplying each term within the parenthesis by the associated term outside the parenthesis. Pay special attention to the sign of each individual term:

`color(red)(-7x)(-4x + 2) + color(blue)(6)(x - 7)` becomes:

`(color(red)(-7x) xx -4x) + (color(red)(-7x) xx 2) + (color(blue)(6) xx x) - (color(blue)(6) xx 7) ->`

`28x^2 - 14x + 6x - 42`

We can now combine like terms:

`28x^2 + (-14 + 6)x - 42`

`28x^2 -8x - 42`