Let $f (x, y) = x^{2} - 4 x y - y^{2}$ . Compute $f (4, 0)$ and $f (4, - 6)$
$f (4, 0) = ◻$ (Simplify your answer.)
$f (4, - 6) = ◻$ (Simplify your answer.)

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Answer

$f (4, - 6) = 76$

Steps

Step 1 ：Substitute x = 4 and y = 0 into the function: $f (4, 0) = (4)^{2} - 4 * (4) * (0) - (0)^{2}$

Step 2 ：Simplify the expression: $f (4, 0) = 16 - 0 - 0 = 16$

Step 3 ： $f (4, 0) = 16$

Step 4 ：Substitute x = 4 and y = -6 into the function: $f (4, - 6) = (4)^{2} - 4 * (4) * (- 6) - (- 6)^{2}$

Step 5 ：Simplify the expression: $f (4, - 6) = 16 - (- 96) - 36 = 16 + 96 - 36 = 76$

Step 6 ： $f (4, - 6) = 76$