(4x^2 + 3x - 7) - (2x^2 + 5x + 1)
show your work
First, distribute the negative sign in front of the second polynomial:
(4x^2 + 3x - 7) - (2x^2 + 5x + 1)
= 4x^2 + 3x - 7 - 2x^2 - 5x - 1
Next, combine like terms:
= (4x^2 - 2x^2) + (3x - 5x) + (-7 - 1)
= 2x^2 - 2x - 8
Therefore, the simplified form of the expression is 2x^2 - 2x - 8.