Question

find the value of the following if x = -2 and y=-3
$x {}^{2} + 3y {}^{2} - 3xy + 5xy {}^{2}$
​

Answer 1

Answer:

As Value of x and y are given which are -2 and -3 respectively so we can find the value of given expression

By putting these values of x and y in the expression.

After solving the whole equation properly we get the value of required expression is equals to to - 77 as shown below:-)

${x}^{2} + 3y ^{2} - 3xy + 5 {xy}^{2} \\ = ({ - 2})^{2} + 3( { - 3)}^{2} - 3 ( - 2 \times - 3) + 5( - 2)( { - 3})^{2} \\ = 4 + 3 \times 9 - 6 + 5 \times ( - 18) \\ =4 + 27 - 18 - 90 \\ = - 77$