[tex]b^3-8d^3=(b-2d)\cdot(b^2+2bd+4d^2)[/tex]
factoring the expression by parts will be:
• To get the first factor we take the cube root of the expression
[tex]\begin{gathered} \sqrt[3]{b^3}=b> \\ -\sqrt[3]{8d^3^{}}=2d \\ (b-2d)\to\text{first factor} \end{gathered}[/tex]
• For the second factor we divide the expression by the first factor:
In the end the factorization is:
[tex]b^3-8d^3=(b-2d)\cdot(b^2+2bd+4d^2)[/tex]
