Question

How do you simplify `(x-2)(3x-4)`?

Answer 1

Multiply across the parenthesis and combine like terms

Explanation:

`( x -2)xx (3x -4) = x xx( 3x-4) -2 ( 3x-4)`

`x xx( 3x-4) - 2(3x-4) = 3x^2 -4x - 6x + 8`

`3x^2 -4x -6x +8 = 3x^2 -10x +8`

Answer 2

See a solution process below:

Explanation:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

`(color(red)(x) - color(red)(2))(color(blue)(3x) - color(blue)(4))` becomes:

`(color(red)(x) xx color(blue)(3x)) - (color(red)(x) xx color(blue)(4)) - (color(red)(2) xx color(blue)(3x)) + (color(red)(2) xx color(blue)(4))`

`3x^2 - 4x - 6x + 8`

We can now combine like terms:

`3x^2 + (-4 - 6)x + 8`

`3x^2 + (-10)x + 8`

`3x^2 - 10x + 8`

Answer 3

`3x^2- 10x+8`

Explanation:

`x ( 3x - 4) -2( 3x - 4)`

`3x^2- 4x - 6x+8`

`3x^2- 10x+8`