document.write( "Question 39843:
Combine like terms: 6x² + 3x - 2 + 2x² – x + 7
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Algebra.Com's Answer #25271 by AnlytcPhil(1806) $\"\"$ $\"About$

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Combine like terms:  6x² + 3x - 2 + 2x² – x + 7\r\n" );
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document.write( "There are 6 terms\r\n" );
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document.write( "+6x², +3x, -2, +2x², -1x, and +7.  (Notice that -x is the same as -1x)\r\n" );
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document.write( "+6x² and +2x² are like terms because the only difference between them\r\n" );
document.write( "is their coefficients, +6 and +2, so we combine the coefficients and get +8,\r\n" );
document.write( "then we place +8 in front of the x², the part of those two terms that are the\r\n" );
document.write( "same.  So we end up with +8x²\r\n" );
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document.write( "+3x and -1x are like terms because the only difference between them\r\n" );
document.write( "is their coefficients, +3 and -1, so we combine the coefficients and get +2,\r\n" );
document.write( "then we place +2 in front of the x, the part of those two terms that are the\r\n" );
document.write( "same.  So we end up with +2x\r\n" );
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document.write( "-2 and +7 are like terms, so we just combine them and get +5,\r\n" );
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document.write( "So they are\r\n" );
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document.write( "+8x², +2x and +5, so we write\r\n" );
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document.write( "+8x² + 2x + 5\r\n" );
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document.write( "and we can erase the introductory +\r\n" );
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document.write( "8x² + 2x + 5\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com

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