document.write( "Question 272190: (y-2)^4\r
\n" ); document.write( "\n" ); document.write( "How do I work this problem? Please help. thank you
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Algebra.Com's Answer #199211 by Alan3354(69443)\"\" \"About 
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(y-2)^4
\n" ); document.write( "How do I work this problem?
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\n" ); document.write( "What do you mean my \"work\" it?
\n" ); document.write( "If you want to expand it, or multiply it out:
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\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.
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\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.
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\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.
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\n" ); document.write( "= \"y%5E4+-+8%2Ay%5E3+%2B+24y%5E3+-+32%2Ay+%2B+16\"
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