# What is the value of the expression 2x^{2}+3xy-4y^{2} when x = 2 and y = - 4?

**Solution:**

2x^{2}+3xy-4y^{2} (Given)

Substituting the values in the expression as x = 2 and y = - 4

2(2)^{2} + 3(2)(-4) - 4(-4)^{2}

On further simplification, we get

= 2 × 4 -24 - 4(16)

= 8 - 24 - 64

= 8 - 88

= - 80

Therefore, the value of the expression is - 80.

## What is the value of the expression 2x^{2}+3xy-4y^{2} when x = 2 and y = - 4?

**Summary:**

The value of the expression 2x^{2}+3xy-4y^{2} when x = 2 and y = - 4 is - 80.