document.write( "Question 569735: Multipy the following polynomial as indicated (7y^2+x)(y^2-2x) \n" ); document.write( "
Algebra.Com's Answer #367452 by AnlytcPhil(1806)\"\" \"About 
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document.write( "Remember the word FOIL. F for FIRSTS, O for OUTERS, I for INNERS, \r\n" );
document.write( "and L for LASTS.\r\n" );
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document.write( "The FIRSTS are the 7y² and the y²\r\n" );
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document.write( "(7y²+x)(y²-2x)\r\n" );
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document.write( "That's because the 7y² comes FIRST in the (7y²+x)\r\n" );
document.write( "and the y² comes FIRST in the (y²-2x)\r\n" );
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document.write( "So we multiply them together\r\n" );
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document.write( "7y²·y² = 7y4\r\n" );
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document.write( "---------------------------------------------\r\n" );
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document.write( "The OUTERS are the 7y² and the -2x\r\n" );
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document.write( "(7y²+x)(y²-2x)\r\n" );
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document.write( "That's because the 7y² and the -2x are on the OUTSIDE\r\n" );
document.write( "(That is they are the farthest OUT from each other)\r\n" );
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document.write( "So we multiply them together\r\n" );
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document.write( "7y²·-2x = -14xy²\r\n" );
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document.write( "The INNERS are the +x and the y²\r\n" );
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document.write( "(7z²+x)(y²-2x)\r\n" );
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document.write( "That's because the +x and the y² are on the INSIDE\r\n" );
document.write( "(That is they are in the middle)\r\n" );
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document.write( "So we multiply them together\r\n" );
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document.write( "+x·y² = +xy²\r\n" );
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document.write( "The LASTS are the +x and the -2x\r\n" );
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document.write( "(7y²+x)(y²-2x)\r\n" );
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document.write( "That's because the +x comes LAST in the (7y²+x)\r\n" );
document.write( "and the -2x comes LAST in the (y²-2x)\r\n" );
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document.write( "So we multiply them together\r\n" );
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document.write( "+x·-2x = -2x²\r\n" );
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document.write( "Write down the four terms from above for FIRSTS, OUTERS, INNERS, and LASTS:\r\n" );
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document.write( "7y4-14xy²+xy²-2x²\r\n" );
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document.write( "The two middle terms are like terms, so they will combine as -13xy²\r\n" );
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document.write( "Answer: 7y4-13xy²-2x² \r\n" );
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document.write( "Edwin
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