document.write( "Question 1083377: Eexpand the (1+2x)7 \n" ); document.write( "
Algebra.Com's Answer #697364 by natolino_2017(77)\"\" \"About 
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Using the rule of Newton Binomial:\r
\n" ); document.write( "\n" ); document.write( "(1+2x)^7 = sum((7Ck)(1)^(7-k)(2x)^k from k= 0 to k = 7.\r
\n" ); document.write( "\n" ); document.write( "Se the (1)^k = 1 for any value ok k.\r
\n" ); document.write( "\n" ); document.write( "= 7C0 + 7C1(2x) + 7C2(4x^2) + 7C3(8x^3) + 7C4(16x^4) + 7C5(32x^5) + 7C6(64x^6) +7C7(128x^7)\r
\n" ); document.write( "\n" ); document.write( "= 1 + 14x + 84x^2 + 280x^3 + 560x^4 + 672x^5 + 448x^6 + 128x^7.\r
\n" ); document.write( "\n" ); document.write( "Remember that nCk = n!/((n-k)!(k!)) is n>=k and n and k are natural numbers or zero.\r
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