document.write( "Question 770274: Use the binomial formula to find the coefficient of the z^14y^2 term in the expansion of (z-3y)^16 \n" ); document.write( "

Algebra.Com's Answer #469413 by nerdybill(7384) $\"\"$ $\"About$

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Use the binomial formula to find the coefficient of the z^14y^2 term in the expansion of (z-3y)^16
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\n" ); document.write( "the formula is:
\n" ); document.write( "nCk
\n" ); document.write( "read: \"n Combination k\"
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\n" ); document.write( "If you have z^14y^2
\n" ); document.write( "then
\n" ); document.write( "n is 16
\n" ); document.write( "k is 2
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\n" ); document.write( " C
\n" ); document.write( "n k
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\n" ); document.write( "n!/(n-k)!k!
\n" ); document.write( "16!/(16-2)!2!
\n" ); document.write( "16!/14!2!
\n" ); document.write( "(15*16)/(2)
\n" ); document.write( "15*8
\n" ); document.write( "120
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\n" ); document.write( "now we have:
\n" ); document.write( "120z^14y^2
\n" ); document.write( "From: (z-3y)^16
\n" ); document.write( "substitute in our z and y
\n" ); document.write( "120z^14y^2
\n" ); document.write( "120z^14(-3y)^2
\n" ); document.write( "120z^14(9y^2)
\n" ); document.write( "1080z^14y^2 (answer)\r
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