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Solution:
2x2+3xy-4y2 (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.
Summary:
The value of the expression 2x2+3xy-4y2 when x = 2 and y = - 4 is - 80.