Question

$(3 - 5x + 2x^2) - (12x^4 - 3 + 8x - 4x^2)$

Explanation:

Step1: Distribute the negative sign

$(3 - 5x + 2x^2) - 12x^4 + 3 - 8x + 4x^2$

Step2: Group like terms

$-12x^4 + (2x^2 + 4x^2) + (-5x - 8x) + (3 + 3)$

Step3: Combine like terms

$-12x^4 + 6x^2 - 13x + 6$

Answer:

$-12x^4 + 6x^2 - 13x + 6$