document.write( "Question 473000: Evaluate [f(x+h)-f(x)]/h and simplify if f(x)=x^2-2x\r
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Algebra.Com's Answer #324323 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
f(x)=x^2-2x \r
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\n" ); document.write( "\n" ); document.write( "f(x+h)=(x+h)^2-2(x+h)\r
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\n" ); document.write( "\n" ); document.write( "f(x+h)=x^2+2xh+h^2-2x-2h\r
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\n" ); document.write( "\n" ); document.write( "[f(x+h)-f(x)]/h\r
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\n" ); document.write( "\n" ); document.write( "[(x^2+2xh+h^2-2x-2h)-(x^2-2x)]/h\r
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\n" ); document.write( "\n" ); document.write( "[x^2+2xh+h^2-2x-2h-x^2+2x]/h\r
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\n" ); document.write( "\n" ); document.write( "[2xh+h^2-2h]/h\r
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\n" ); document.write( "\n" ); document.write( "[h(2x+h-2)]/h\r
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\n" ); document.write( "\n" ); document.write( "2x+h-2\r
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\n" ); document.write( "\n" ); document.write( "2x-2+h\r
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\n" ); document.write( "\n" ); document.write( "So [f(x+h)-f(x)]/h = 2x-2+h when f(x)=x^2-2x
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