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Question

Simplify the expression for f(x) and then find f(x), if
f(x)=(x2x+2+x2+x2x24x+2)2(x12(x+1)+1)×2x+1

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Solution

f(x)=(x2x+2+x2+(x2)2x2(x+2x2))2(x+12)×2x+1
f(x)=(x2x+2+x2+x2x+2x2)2
f(x)=(2x244)2
f(x)=4x24

f(x)=04(2x)(x24)2=8x(x24)2

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