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Algebraic Expression

Evaluate each...

Question

Evaluate each of the following algebraic expressions for $x = 1, y = - 1, z = 2, a = - 2, b = 2, c = - 2$
${a x}^{2} + {b y}^{2} - {c z}^{2} = ?$

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Solution

$a x^{2} + b y^{2} - c z^{2}$
$= - 2 (1)^{2} + 2 (- 1)^{2} - (- 2) (2)^{2}$
$= - 2 + 2 + 8 = 8$

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