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find each difference. $(-6s^{2}+12s - 8)-(3s^{2}+8s - 6)=$ $\boldsymbol…

Question

find each difference.
$(-6s^{2}+12s - 8)-(3s^{2}+8s - 6)=$
$\boldsymbol{circ}$ $-9s^{2}+4s - 14$
$\boldsymbol{circ}$ $-9s^{2}+4s - 2$
$\boldsymbol{circ}$ $-9s^{2}+20s - 14$
$\boldsymbol{circ}$ $-9s^{2}+20s - 2$
done

Explanation:

Step1: Distribute the negative sign

$(-6s^2 + 12s - 8) - 3s^2 - 8s + 6$

Step2: Combine like $s^2$ terms

$-6s^2 - 3s^2 = -9s^2$

Step3: Combine like $s$ terms

$12s - 8s = 4s$

Step4: Combine constant terms

$-8 + 6 = -2$

Step5: Combine all results

$-9s^2 + 4s - 2$

Answer:

$\boldsymbol{-9s^2 + 4s - 2}$ (matches the second option)