document.write( "Question 143186: 100-(x-5)^2 \n" ); document.write( "
Algebra.Com's Answer #104176 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Do you want to factor this?\r
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\n" ); document.write( "\n" ); document.write( "Let \"y=x-5\"\r
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\n" ); document.write( "\n" ); document.write( "So \"100-%28x-5%29%5E2\" becomes \"100-y%5E2\". Notice how we have a difference of squares\r
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\n" ); document.write( "\n" ); document.write( "\"%2810%2By%29%2810-y%29\" Factor the expression using the difference of squares formula \"A%5E2-B%5E2=%28A%2BB%29%28A-B%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%2810%2Bx-5%29%2810-%28x-5%29%29\" Plug in \"y=x-5\"\r
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\n" ); document.write( "\n" ); document.write( "\"%2810%2Bx-5%29%2810-x%2B5%29\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"%285%2Bx%29%2815-x%29\" Combine like terms\r
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\n" ); document.write( "\n" ); document.write( "So \"100-%28x-5%29%5E2\" factors to \"%285%2Bx%29%2815-x%29\"
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