document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174368>Question 174368</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please give me the answers to these..THANKS! (' means exponet after..)\r<BR>\n" );
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document.write( "Use Pascal's Triangle to expand each binomial.\r<BR>\n" );
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document.write( "1.   (x – y5)'3\r<BR>\n" );
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document.write( "2.   (2a + b)'5 \r<BR>\n" );
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document.write( "3.   Use the Binomial Theorem to expand (3x - 2y)4. \r<BR>\n" );
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document.write( "4.   What is the coefficient of a4b6 in the expansion of (a + b)10? <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129321 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=129321\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use Pascal's Triangle to expand each binomial. <BR>\n" );
document.write( "1. (x – y5)'3<BR>\n" );
document.write( "(x - y^5)^3<BR>\n" );
document.write( "4th row of Pascal's Triangle: 1...3...3....1 <BR>\n" );
document.write( "Expansion: 1x^3 + 3x^2(-y^5) + 3x(-y^5)2 + 1(-y^5)^3<BR>\n" );
document.write( "= x^3 -3x^2y^5 + 3xy^10 - y^15<BR>\n" );
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document.write( "2. (2a + b)^5 <BR>\n" );
document.write( "6th row of Pascal: 1....6....15...20....15....6....1<BR>\n" );
document.write( "Expansion: 1(2a)^5 + 6(2a)^4b + 15(2a)^3b^2 + 20(2a)^2b^3 + 6(2a)b^4 + 1b^5<BR>\n" );
document.write( "= 32a^5 + 96a^4b + 120a^3b^2 + 80a^2b^3 + 12ab^4 + b^5<BR>\n" );
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document.write( "3. Use the Binomial Theorem to expand (3x - 2y)^4.<BR>\n" );
document.write( "= (3x)^4 + 4(3x)^3*4 + 6(3x)^2*4^2 + 4(3x)*4^3 + 4^4\r<BR>\n" );
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document.write( "=  81x^4 + 108x^3 + 864x^2 + 768x + 256<BR>\n" );
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document.write( "4. What is the coefficient of a4b6 in the expansion of (a + b)10?<BR>\n" );
document.write( "Since 4+6 = 10 and a is to the 4 the 4th power the coefficient is 10C4 = 210<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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