Question

simplify each expression.

1. ((x^2 - 5x + 2) - (3x^2 + x - 1) =

Explanation:

Step1: Distribute the negative sign

$x^2 - 5x + 2 - 3x^2 - x + 1$

Step2: Combine like $x^2$ terms

$x^2 - 3x^2 = -2x^2$

Step3: Combine like $x$ terms

$-5x - x = -6x$

Step4: Combine constant terms

$2 + 1 = 3$

Step5: Combine all simplified terms

$-2x^2 - 6x + 3$

Answer:

$-2x^2 - 6x + 3$