document.write( "Question 972748: Find the specified nth term in the expansion of the binomial. (Write the expansion in descending powers of x.)
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Algebra.Com's Answer #595957 by MathTherapy(10552)\"\" \"About 
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Find the specified nth term in the expansion of the binomial. (Write the expansion in descending powers of x.)
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Use the formula for a specific term of a binomial expansion:
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document.write( "(a + b)n = nC(r - 1) * (a)(n - (r - 1)) * (b)(r - 1)\r
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document.write( "We have: \"%284x+%2B+5y%29%5E6\", with:
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document.write( "\"a+=+4x\"
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document.write( "\"b+=+5y\"
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document.write( "Term number, or \"r+=+4\"
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document.write( "\"n+=+6\"
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document.write( "  (a + b)n   = nC(r - 1) * (a)(n - (r - 1)) * (b)(r - 1)
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document.write( "4th term of: (4x + 5y)6:   6C(4 - 1) * (4x)(6 - (4 - 1)) * (5y)(4 - 1)
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document.write( "4th term of (4x + 5y)6:    6C3 * (4x)3 * (5y)3
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document.write( "4th term of (4x + 5y)6:    20 * 64x3 * 125y3
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document.write( "4th term of \"%284x+%2B+5y%29%5E6\":   \"highlight_green%28160000x%5E3y%5E3%29\" \n" );
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