Question

subtract.
$(3g^{2} + 8g + 1) - (2g^{2} + 5g + 1)$

Explanation:

Step1: Distribute the negative sign

$3g^2 + 8g + 1 - 2g^2 - 5g - 1$

Step2: Combine like $g^2$ terms

$(3g^2 - 2g^2) + 8g + 1 - 5g - 1 = g^2 + 8g + 1 - 5g - 1$

Step3: Combine like $g$ terms

$g^2 + (8g - 5g) + 1 - 1 = g^2 + 3g + 1 - 1$

Step4: Combine constant terms

$g^2 + 3g + (1 - 1) = g^2 + 3g$

Answer:

$g^2 + 3g$