document.write( "Question 81250: How do I start this problem:
\n" ); document.write( "Given f(x)=4+3x-x^2 ,find and simplify f(h+5) - f(h-3) \n" ); document.write( "
Algebra.Com's Answer #58293 by ankor@dixie-net.com(22740)\"\" \"About 
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How do I start this problem:
\n" ); document.write( "Here it is step-by-step
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\n" ); document.write( "Given f(x)= 4 + 3x - x^2 , find and simplify f(h+5) - f(h-3)
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\n" ); document.write( "f(h+5): substitute (h+3) for x in the equation:
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\n" ); document.write( "f(h+5) = 4 + 3(h+5) - (h+5)^2
\n" ); document.write( "f(h+3) = 4 + 3h + 15 - (h^2 + 10h + 25): FOILed the square
\n" ); document.write( "f(h+3) = 4 + 3h + 15 - h^2 - 10h - 25; Removing the brackets, changes the signs
\n" ); document.write( "f(h+3) = -h^2 + 3h - 10h + 4 + 15 - 25
\n" ); document.write( "f(h+3) = -h^2 - 7h - 6
\n" ); document.write( ":
\n" ); document.write( "Do the same with (h-3)
\n" ); document.write( "f(h-3) = 4 + 3(h-3) - (h-3)^2
\n" ); document.write( "f(h-3) = 4 + 3h - 9 - (h^2 - 6h + 9)
\n" ); document.write( "f(h-3) = 4 + 3h - 9 - h^2 + 6h - 9
\n" ); document.write( "f(h-3) = -h^2 + 3h + 6h + 4 - 9 - 9
\n" ); document.write( "f(h-3) = -h^2 + 9h - 14
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\n" ); document.write( "Remember we had f(h+5) - f(h-3); therefore
\n" ); document.write( ":
\n" ); document.write( "(-h^2 - 7h - 6) - (-h^2 + 9h - 14)
\n" ); document.write( "-h^2 - 7h - 6 + h^2 - 9h + 14; note the change in signs here
\n" ); document.write( "- h^2 + h^2 - 7h - 9h - 6 + 14
\n" ); document.write( "Therefore we have:
\n" ); document.write( "f(h+5) - f(h-3) = (-16h + 8)
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\n" ); document.write( "did this make sense to you? \n" ); document.write( "
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