Question

perform the following additions and/or subtractions:
$(3b^2 - 7b + 4) + (8b^2 - 5b + 7) = $

Explanation:

Step1: Group like terms

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

Step2: Combine $b^2$ terms

$3b^2 + 8b^2 = 11b^2$

Step3: Combine $b$ terms

$-7b - 5b = -12b$

Step4: Combine constant terms

$4 + 7 = 11$

Step5: Combine all results

$11b^2 - 12b + 11$

Answer:

$11b^2 - 12b + 11$