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Evaluating 4x2xy+5y24x^2 - xy + 5y^2 when x=2x = -2 and y=3y = 3

Evaluate the multi-variable expression 4x2xy+5y24x^2 - xy + 5y^2 when x=2x = -2 and y=3y = 3 by substituting the values and simplifying according to the order of operations:

  1. Substitute: Replace xx with 2-2 and yy with 33, using parentheses: 4(2)2(2)(3)+5(3)24(-2)^2 - (-2)(3) + 5(3)^2.
  2. Simplify exponents: Evaluate (2)2=4(-2)^2 = 4 and (3)2=9(3)^2 = 9. The expression becomes 4(4)(2)(3)+5(9)4(4) - (-2)(3) + 5(9).
  3. Multiply: Calculate each product: 4(4)=164(4) = 16, (2)(3)=6(-2)(3) = -6, and 5(9)=455(9) = 45. The expression becomes 16(6)+4516 - (-6) + 45.
  4. Subtract: The subtraction 16(6)16 - (-6) becomes 16+6=2216 + 6 = 22. The expression becomes 22+4522 + 45.
  5. Add: 22+45=6722 + 45 = 67.

The final evaluated result is 6767.

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Updated 2026-05-01

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