Question

subtract.
$(d^3 + 7d^2 + 4d + 3) - (d^3 + 6d^2 + d + 3)$

Explanation:

Step1: Distribute the subtraction

We have \((d^{3}+7d^{2}+4d + 3)-(d^{3}+6d^{2}+d + 3)\). Distribute the negative sign to the second polynomial: \(d^{3}+7d^{2}+4d + 3 - d^{3}-6d^{2}-d - 3\).

Step2: Combine like terms for \(d^{3}\)

\(d^{3}-d^{3}=0\).

Step3: Combine like terms for \(d^{2}\)

\(7d^{2}-6d^{2}=d^{2}\).

Step4: Combine like terms for \(d\)

\(4d - d = 3d\).

Step5: Combine constant terms

\(3 - 3 = 0\).

Answer:

\(d^{2}+3d\)