Question

simplify the following expression. choose the correct coefficient for each term.
$(7x^{3}+2x^{2}-4x - 8)-(3x^{3}-5x^{2}+4x - 12)$
$square x^{3}$ $square x^{2}$ $square x$ $square$

Explanation:

Step1: Distribute the negative sign

$(7x^3 + 2x^2 - 4x - 8) - 3x^3 + 5x^2 - 4x + 12$

Step2: Combine $x^3$ terms

$7x^3 - 3x^3 = 4x^3$

Step3: Combine $x^2$ terms

$2x^2 + 5x^2 = 7x^2$

Step4: Combine $x$ terms

$-4x - 4x = -8x$

Step5: Combine constant terms

$-8 + 12 = 4$

Answer:

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