Question

Which of these expressions is equivalent to 3x(x-1)-5(x-1)? Select all that apply.

3x^2-8x+5
x-1(3x-5)
(3x-5)(x-1)
(x-1)(3x+5)

Answer 1

`\boxed{3x^2 -8x+5}`

`\boxed{(3x-5)(x-1)}`

Explanation:

`3x(x-1)-5(x-1)`

Expand brackets.

`3x(x)+3x(-1)-5(x)-5(-1)`

`3x^2 -3x-5x+5`

Combine like terms.

`3x^2 -8x+5`

`3x(x-1)-5(x-1)`

Take x-1 as a common factor.

`(3x-5)(x-1)`

Answer 2

3x(x-1)-5(x-1)

=3x²-3x-5x+5 (we can count it one by one)

=3x²-8x+5 (we can calculate the same variable)

#i'm from indonesia

hope it helps.