Question

Multiply$\frac{6{\mathrm{y}}^2-2\mathrm{y}-10}{9-{\mathrm{y}}^2}.\frac{{\mathrm{y}}^2-6\mathrm{y}+9}{6{\mathrm{y}}^2+29-20}$

Short answer

The rational expression is undefined when$\mathrm{y}=0.$

Step-by-step solution

Step 1. Given Information

Given that the expression is$\frac{6{\mathrm{y}}^2-2\mathrm{y}-10}{9-{\mathrm{y}}^2}.\frac{{\mathrm{y}}^2-6\mathrm{y}+9}{6{\mathrm{y}}^2+29-20}$

Step 2. Simplification

Take rational expression as $\frac{3{\mathrm{xy}}^2}{5\mathrm{y}}.$The expression can be undefined which is equal to zero to solve the variable.

$$\begin{gathered} 5\mathrm{y}=0 \\ \mathrm{y}=0 \end{gathered}$$

The rational expression is undefined when$\mathbf{y}\mathbf{=}\mathbf{0}\mathbf{.}$