Question

In the following exercises, evaluate the following expressions.

$2x^2-4xy-3y^2$when$x=3,y=1.$

Short answer

The value of the expression$=3$

Step-by-step solution

Step 1. Given information

Expression is$2x^2-4xy-3y^2$

and$x=3,y=1$

Step 2. Evaluate the expression

$$\begin{gathered} 2x^2-4xy-3y^2=2{\left(3\right)}^2-4\left(3\right)\left(1\right)-3{\left(1\right)}^2\text{Put}x=3,=1 \\ =18-12-3\text{Simplify} \\ =3 \end{gathered}$$

Hence, the value of the expression$=3$