Question

(4x³ - 3x² + 4) - (7x + 3x³ + 8x²)

Explanation:

Step1: Distribute the negative sign

$4x^3 - 3x^2 + 4 - 7x - 3x^3 - 8x^2$

Step2: Combine like $x^3$ terms

$(4x^3 - 3x^3) = x^3$

Step3: Combine like $x^2$ terms

$(-3x^2 - 8x^2) = -11x^2$

Step4: Write remaining terms

$-7x + 4$

Step5: Combine all simplified terms

$x^3 - 11x^2 - 7x + 4$

Answer:

$x^3 - 11x^2 - 7x + 4$