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Math  /  Algebra

QuestionQuestion 7 of 14 , Step 1 of 1 6/14 Correct Evaluate the following algebraic expression at x=4,y=−2x=4, y=-2 and simplify your answer. −6x2−y2+2-6 x^{2}-y^{2}+2
Answer

Studdy Solution

STEP 1

1. The given algebraic expression is −6x2−y2+2-6x^2 - y^2 + 2.
2. We need to evaluate this expression at x=4x=4 and y=−2y=-2.
3. The final answer should be simplified to a single numerical value.

STEP 2

1. Substitute x=4x=4 into the expression.
2. Substitute y=−2y=-2 into the expression.
3. Simplify the resulting numerical expression.

STEP 3

Substitute x=4x=4 into the expression −6x2−y2+2-6x^2 - y^2 + 2.
−6(4)2−y2+2 -6(4)^2 - y^2 + 2

STEP 4

Substitute y=−2y=-2 into the expression obtained from Step 1.
−6(4)2−(−2)2+2 -6(4)^2 - (-2)^2 + 2

STEP 5

Simplify the expression by calculating the powers and the products.
−6⋅16−4+2 -6 \cdot 16 - 4 + 2

STEP 6

Continue simplifying by performing the multiplication and addition/subtraction.
−96−4+2 -96 - 4 + 2

STEP 7

Combine the terms to get the final result.
−96−4+2=−98 -96 - 4 + 2 = -98
Solution: −98 -98

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