Question

Factor the polynomial. When typing your answer use the carrot key ^ (press shift and 6) to indicate an exponent. Type your terms in descending order and do not put any spaces between your characters. b^3-8d^3 this factors into:(Answer - Answer)(Answer+Answer+Answer)

Answer 1

`b^3-8d^3=(b-2d)\cdot(b^2+2bd+4d^2)`

factoring the expression by parts will be:

• To get the first factor we take the cube root of the expression

`\begin{gathered} \sqrt[3]{b^3}=b> \\ -\sqrt[3]{8d^3^{}}=2d \\ (b-2d)\to\text{first factor} \end{gathered}`

• For the second factor we divide the expression by the first factor:

In the end the factorization is:

`b^3-8d^3=(b-2d)\cdot(b^2+2bd+4d^2)`