subtract.\n(8b³ + 8b² + 8b + 3) - (b³ + 6b² + 2)

Explanation:

Step1: Distribute the negative sign

$(8b^{3}+8b^{2}+8b + 3)- (b^{3}+6b^{2}+2)=8b^{3}+8b^{2}+8b + 3 - b^{3}-6b^{2}-2$

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

$(8b^{3}-b^{3})+8b^{2}+8b + 3 - 6b^{2}-2 = 7b^{3}+8b^{2}+8b + 3 - 6b^{2}-2$

Step3: Combine like - terms for $b^{2}$

$7b^{3}+(8b^{2}-6b^{2})+8b + 3 - 2=7b^{3}+2b^{2}+8b + 3 - 2$

Step4: Combine constant terms

$7b^{3}+2b^{2}+8b+(3 - 2)=7b^{3}+2b^{2}+8b + 1$

Answer:

$7b^{3}+2b^{2}+8b + 1$