document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=422053>Question 422053</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm homeschooled and I can't seem to get the steps of this problem. \r<BR>\n" );
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document.write( "The question is:\r<BR>\n" );
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document.write( "What is (x + y)^5 in expanded form?\r<BR>\n" );
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document.write( "The answer is:\r<BR>\n" );
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document.write( "x^5 + 5x^4y + 10x^3y^2 + 10x^2y^3 + 5xy^4 + y^5\r<BR>\n" );
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document.write( "I'm not good with expansions, so please show me the steps.<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 #294761 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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/cgi-bin/show-face.mpl?user=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=294761\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It comes from the Binomial theorem. The expansion of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2By%29%5En ALIGN=MIDDLE  ALT=\"%28x%2By%29%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" > is given by\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28%28nCi%29%28x%5Ei%29%28y%5E%28n-i%29%29%2C+i=0%2C+n%29 ALIGN=MIDDLE  ALT=\"sum%28%28nCi%29%28x%5Ei%29%28y%5E%28n-i%29%29%2C+i=0%2C+n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (here, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=nCi+=+n%21%2F%28%28n-i%29%21i%21%29 ALIGN=MIDDLE  ALT=\"nCi+=+n%21%2F%28%28n-i%29%21i%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, number of ways to choose i objects out of n total)\r<BR>\n" );
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document.write( "In this case,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2By%29%5E5+=+%285C0%29x%5E5+%2B+%285C1%29%28x%5E4%29y+%2B+%285C2%29%28x%5E3%29%28y%5E2%29+%2B+%285C3%29%28x%5E2%29%28y%5E3%29+%2B+%285C4%29xy%5E4+%2B+%285C5%29y%5E5 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2By%29%5E5+=+x%5E5+%2B+5%28x%5E4%29y+%2B+10%28x%5E3%29%28y%5E2%29+%2B+10%28x%5E2%29%28y%5E3%29+%2B+5xy%5E4+%2B+y%5E5 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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