document.write( "Question 272190: (y-2)^4\r
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document.write( "How do I work this problem? Please help. thank you \n" );
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Algebra.Com's Answer #199211 by Alan3354(69443) You can put this solution on YOUR website! (y-2)^4 \n" ); document.write( "How do I work this problem? \n" ); document.write( "------------------ \n" ); document.write( "What do you mean my \"work\" it? \n" ); document.write( "If you want to expand it, or multiply it out: \n" ); document.write( "--------------- \n" ); document.write( "The simplest way to expand binomials when the exponents are \"large\" is Pascal's Triangle. The 4th power can be done as squaring it twice, but if the exponent is 5 or more, that's tedious and error-prone. \n" ); document.write( "----------------- \n" ); document.write( "To find the coefficients: \n" ); document.write( "1 \n" ); document.write( "1 1 \n" ); document.write( "1 2 1 \n" ); document.write( "1 3 3 1 \n" ); document.write( "1 4 6 4 1 \n" ); document.write( "Each coefficient is the sum of 2 above it, so you can figure it out without notes if you don't remember it. \n" ); document.write( "--------------------------------- \n" ); document.write( "Pascal's triangle for the 4th power gives coefficients of \n" ); document.write( "1 4 6 4 1 \n" ); document.write( "The expansion will have 5 terms. \n" ); document.write( "The exponents of the y terms will start with 4 and decrease. \n" ); document.write( "The exponents of the 2 terms will start with 0 and increase. \n" ); document.write( "The signs will alternate, or you can view it as (-2) with exponents. \n" ); document.write( "------------------ \n" ); document.write( "--> \n" ); document.write( "= \n" ); document.write( " \n" ); document.write( " |