document.write( "Question 850028: Write { { { 3/2( x-2)^2-1 } } } in standard form. \n" ); document.write( "
Algebra.Com's Answer #511909 by josh_jordan(263)\"\" \"About 
You can put this solution on YOUR website!
In order to write this expression in standard form, we need to use the order of operations. So, we will first expand (x - 2)^2 by FOILING:\r
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\n" ); document.write( "\n" ); document.write( "(x - 2)(x - 2) ----->\r
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\n" ); document.write( "\n" ); document.write( "x^2 - 2x - 2x + 4 ----->\r
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\n" ); document.write( "\n" ); document.write( "x^2 - 4x + 4\r
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\n" ); document.write( "\n" ); document.write( "Next, we need to distribute the 3/2 to x^2 - 4x + 4, by multiplying these terms together:\r
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\n" ); document.write( "\n" ); document.write( "\"%283%2F2%29x%5E2-%2812x%2F2%29%2B%2812%2F2%29\" ----->\r
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\n" ); document.write( "\n" ); document.write( "\"%283%2F2%29x%5E2-6x%2B6\"\r
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\n" ); document.write( "\n" ); document.write( "Now, we just need to add the -1 to this quadratic:\r
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\n" ); document.write( "\n" ); document.write( "\"%283%2F2%29x%5E2-6x%2B6-1\" ----->\r
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\n" ); document.write( "\n" ); document.write( "\"%283%2F2%29x%5E2-6x%2B5\" which is our answer
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