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10. Which expression is equivalent to 4x+(x-4)^2-2x^2-1 ? A -x^2-4x-17 B -x^2-4x+15 -x^2+4x-17 D -x^2+4x+15

Question

10. Which expression is equivalent to
4x+(x-4)^2-2x^2-1 ?
A -x^2-4x-17
B -x^2-4x+15
-x^2+4x-17
D -x^2+4x+15

10. Which expression is equivalent to 4x+(x-4)^2-2x^2-1 ? A -x^2-4x-17 B -x^2-4x+15 -x^2+4x-17 D -x^2+4x+15

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Answer

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HeathMaster · Tutor for 5 years

Answer

First, expand the square in the given expression:\(4x + (x-4)^2 - 2x^2 - 1 = 4x + (x^2 - 8x + 16) - 2x^2 - 1\)Then, simplify the expression by combining like terms:= \(x^2 - 4x + 16 - 2x^2 - 1\)= \(-x^2 - 4x + 15\)So, the equivalent expression is \(-x^2 - 4x + 15\), which corresponds to option B.
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