Question

In the following exercises , simplify the equation $\left(3x\hspace{0.17em}-\hspace{0.17em}11y\right)\left(3x\hspace{0.17em}-\hspace{0.17em}11y\right)$.

Short answer

The simplified expression is $9x^2-66xy+121y^2$.

Step-by-step solution

Step 1. Given Information.

The expression is $\left(3x\hspace{0.17em}-\hspace{0.17em}11y\right)\left(3x\hspace{0.17em}-\hspace{0.17em}11y\right)$.

Step 2. Simplify given equation.

Simplifying $\left(3x\hspace{0.17em}-\hspace{0.17em}11y\right)\left(3x\hspace{0.17em}-\hspace{0.17em}11y\right)$

Expand

$$\begin{gathered} \left(3x\hspace{0.17em}-\hspace{0.17em}11y\right)\left(3x\hspace{0.17em}-\hspace{0.17em}11y\right)=3x·3x-33xy-33xy-11y·(-11y) \\ 3x·3x-33xy-33xy-11y·(-11y)=9x^2-66xy+121y^2 \end{gathered}$$