Question

Multiply$\frac{72\mathrm{x}-12{\mathrm{x}}^2}{8\mathrm{x}+32}.\frac{{\mathrm{x}}^2+10\mathrm{x}+24}{{\mathrm{x}}^2-36}$

Short answer

Simplified solution is$\mathrm{b}=\pm 4.$

Step-by-step solution

Given Information

Given that the expression is $\frac{72\mathrm{x}-12{\mathrm{x}}^2}{8\mathrm{x}+32}.\frac{{\mathrm{x}}^2+10\mathrm{x}+24}{{\mathrm{x}}^2-36}$and taken as$\frac{\mathrm{b}-3}{{\mathrm{b}}^2-16}$.

Step 2. Simplification

The denominator will be zero when the expression is undefined.

$$\begin{gathered} {\mathrm{b}}^2-16=0 \\ {\mathrm{b}}^2=16 \\ \mathbf{b}\mathbf{=}\mathbf{\pm }\mathbf{4} \end{gathered}$$

The rational function will be undefined if$\mathbf{b}\mathbf{=}\mathbf{\pm }\mathbf{4}\mathbf{.}$