which expression is equivalent to $(6g^{3}+9g + 5)-(4g^{3}-6g^{2}-3g + 8)$?\n$2g^{3}-6g^{2}-6g +…

which expression is equivalent to $(6g^{3}+9g + 5)-(4g^{3}-6g^{2}-3g + 8)$?\n$2g^{3}-6g^{2}-6g + 13$\n$2g^{3}-6g^{2}-6g - 3$\n$2g^{3}+6g^{2}+12g + 13$\n$2g^{3}+6g^{2}+12g - 3$

which expression is equivalent to $(6g^{3}+9g + 5)-(4g^{3}-6g^{2}-3g + 8)$?\n$2g^{3}-6g^{2}-6g + 13$\n$2g^{3}-6g^{2}-6g - 3$\n$2g^{3}+6g^{2}+12g + 13$\n$2g^{3}+6g^{2}+12g - 3$

Answer

Explanation:

Step1: Distribute the negative sign

$(6g^{3}+9g + 5)-(4g^{3}-6g^{2}-3g + 8)=6g^{3}+9g + 5-4g^{3}+6g^{2}+3g - 8$

Step2: Combine like - terms for $g^{3}$ terms

$(6g^{3}-4g^{3})+6g^{2}+(9g + 3g)+(5 - 8)=2g^{3}+6g^{2}+12g-3$

Answer:

$2g^{3}+6g^{2}+12g - 3$