document.write( "Question 1209636: Complete the square: 3x^2 + 8x + 9 - 4x^2 + 25x + 19 \n" ); document.write( "
Algebra.Com's Answer #849729 by CPhill(1959)\"\" \"About 
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Here's how to complete the square for the given expression:\r
\n" ); document.write( "\n" ); document.write( "1. **Combine like terms:**\r
\n" ); document.write( "\n" ); document.write( " (3x² - 4x²) + (8x + 25x) + (9 + 19) = -x² + 33x + 28\r
\n" ); document.write( "\n" ); document.write( "2. **Factor out the coefficient of the x² term from the x² and x terms:**\r
\n" ); document.write( "\n" ); document.write( " -1(x² - 33x) + 28\r
\n" ); document.write( "\n" ); document.write( "3. **Complete the square inside the parentheses:**\r
\n" ); document.write( "\n" ); document.write( " Take half of the coefficient of the x term (-33), square it ((-33/2)² = 1089/4), and add and subtract it inside the parentheses:\r
\n" ); document.write( "\n" ); document.write( " -1(x² - 33x + 1089/4 - 1089/4) + 28\r
\n" ); document.write( "\n" ); document.write( "4. **Rewrite the expression:**\r
\n" ); document.write( "\n" ); document.write( " -1(x - 33/2)² + 1089/4 + 28\r
\n" ); document.write( "\n" ); document.write( "5. **Simplify the constant term:**\r
\n" ); document.write( "\n" ); document.write( " -1(x - 33/2)² + 1089/4 + 112/4
\n" ); document.write( " -1(x - 33/2)² + 1201/4\r
\n" ); document.write( "\n" ); document.write( "Therefore, the completed square form is: -(x - 33/2)² + 1201/4 or -(x - 16.5)² + 300.25
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