Adding and subtracting rational expression practice

Answer 1

1. Simplify the following expression:
(2x^2 + 5x - 3) + (3x^2 - 2x + 4)

First, combine like terms:
2x^2 + 5x - 3 + 3x^2 - 2x + 4 = 5x^2 + 3x + 1

So, the simplified expression is 5x^2 + 3x + 1

2. Subtract the following expressions:
(4x^2 + 7x - 2) - (2x^2 - 3x + 5)

First, distribute the negative sign in the second expression:
4x^2 + 7x - 2 - 2x^2 + 3x - 5

Now, combine like terms:
4x^2 - 2x^2 + 7x + 3x - 2 - 5 = 2x^2 + 10x - 7

So, the result of the subtraction is 2x^2 + 10x - 7