Question

Lloyd is working a problem on the board in his math class. He needs to simplifythe expression below.(2x-3) + (2x*- 3x) – (3x*- 5).What should he write as his answer?

Answer 1

-x² - x + 2

Explanation:

We are given the following expression:

(2x-3) + (2x²- 3x) – (3x²- 5).

To simplify, we first need to remove the parenthesis. If there is a negative sign before the parenthesis, we change the signal of everything that is inside(+ goes to -, - goes to +). So

(2x-3) + (2x²- 3x) – (3x²- 5) = 2x - 3 + 2x² - 3x - 3x² + 5

Now we need to combine the like terms:

With x²: 2x² - 3x² = -x²

With x: 2x - 3x = -x

Independent: -3 + 5 = 2

Now adding these terms, we get the simplified expression, which is:

-x² - x + 2