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Written as a simplified polynomial in standard form, what is the result when (x-4)^2 is subtracted from 10x?

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Happil

Answer:

[tex]-x^2 +18x -16[/tex]

Step-by-step explanation:

First we must apply the distributive property to expand [tex](x -4)^2[/tex]:

[tex](x -4)^2 \\ (x -4)(x -4) \\ x(x -4) -4(x -4) \\ x^2 -4x -4x +16 \\ x^2 -8x +16[/tex].

Now we can subtract the result from [tex]10x[/tex].

[tex]10x -(x^2 -8x +16) \\ 10x -x^2 +8x -16 \\ -x^2 +10x +8x -16 \\ -x^2 + (10 +8)x -16 \\ -x^2 +18x -16[/tex]

Answer:

9x^2 + 8x - 16

Step-by-step explanation:

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