document.write( "Question 627699: Please help me expand and simplify this: (2x+3)^2+3(x+1)^2.
\n" ); document.write( "I tried expanding it- but failed to do so. I'm not sure of how to solve this problem but know that the answer is: 7x^2+18x+12. When I tried solving it, I got: 5x^2+9x+12. Here are my steps:
\n" ); document.write( "Expand and Simplify: (2x+3)^2+3(x+1)^2
\n" ); document.write( "1. 2x^2+6x+9+3[x^2+x+1]
\n" ); document.write( "For step 1, I multiplied 2x by the power of 2 which i got: 2x^2, then three times 2 which i got 6x and then i multiplied 3 times 3, which i got 9.
\n" ); document.write( "2. 2x^2+6x+9+3x^2+3x+3
\n" ); document.write( "I then multiplied 3 times x^2 which i got 3x^2, then i multiplied 3 times x, which i got 3x and then i multiplied 3 times 1 which is three.
\n" ); document.write( "Lastly, I gathered the like terms and did steps according to the negative and positive terms and as an answer, I got: 5x^2+9x+12. \n" ); document.write( "

Algebra.Com's Answer #395074 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
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document.write( "Hi,
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document.write( "(2x+3)^2 +3(x+1)^2
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document.write( "1. x^2+x+9 + 3[x^2+x+1]  
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document.write( "   7x^2 + 18x + 12
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document.write( "Note:
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document.write( "(2x+3)^2 = (2x+3)(2x+3)
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document.write( " F	First terms  4x^2
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document.write( "O	Outside terms 6x
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document.write( "I	Inside terms  6x
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document.write( "L	Last terms    9
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document.write( " 
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document.write( " (x+1)^2 = (x+1)(x+1)
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document.write( "F	First terms  x^2
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document.write( "O	Outside terms x
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document.write( "I	Inside terms  x
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document.write( "L	Last terms    1
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document.write( "  \n" );
document.write( "

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