document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=369957>Question 369957</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if f(x)=2x <BR>\n" );
document.write( "show that f (x + 4)-f(x-2)=63/4\r<BR>\n" );
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document.write( "if f(x,y) = x4 + 3x2 y2 + y4<BR>\n" );
document.write( "show that f (ax,ay)= a4.f(x,y) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #263605 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=263605\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2Cy%29+=+x%5E4+%2B+3x%5E2y%5E2+%2B+y%5E4 ALIGN=MIDDLE  ALT=\"f%28x%2Cy%29+=+x%5E4+%2B+3x%5E2y%5E2+%2B+y%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28ax%2Cay%29+=+%28ax%29%5E4+%2B+3%28ax%29%5E2%28ay%29%5E2+%2B+%28ay%29%5E4 ALIGN=MIDDLE  ALT=\"f%28ax%2Cay%29+=+%28ax%29%5E4+%2B+3%28ax%29%5E2%28ay%29%5E2+%2B+%28ay%29%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace each 'x' with 'ax'. Replace each 'y' with 'ay'\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28ax%2Cay%29+=+a%5E4x%5E4+%2B+3a%5E2x%5E2a%5E2y%5E2+%2B+a%5E4y%5E4 ALIGN=MIDDLE  ALT=\"f%28ax%2Cay%29+=+a%5E4x%5E4+%2B+3a%5E2x%5E2a%5E2y%5E2+%2B+a%5E4y%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the property <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28xy%29%5Ez=x%5Ezy%5Ez ALIGN=MIDDLE  ALT=\"%28xy%29%5Ez=x%5Ezy%5Ez\"   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=f%28ax%2Cay%29+=+a%5E4x%5E4+%2B+3a%5E2%2Aa%5E2x%5E2y%5E2+%2B+a%5E4y%5E4 ALIGN=MIDDLE  ALT=\"f%28ax%2Cay%29+=+a%5E4x%5E4+%2B+3a%5E2%2Aa%5E2x%5E2y%5E2+%2B+a%5E4y%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28ax%2Cay%29+=+a%5E4x%5E4+%2B+3a%5E4x%5E2y%5E2+%2B+a%5E4y%5E4 ALIGN=MIDDLE  ALT=\"f%28ax%2Cay%29+=+a%5E4x%5E4+%2B+3a%5E4x%5E2y%5E2+%2B+a%5E4y%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2 ALIGN=MIDDLE  ALT=\"a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2 ALIGN=MIDDLE  ALT=\"a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Aa%5E2=a%5E%282%2B2%29=a%5E4 ALIGN=MIDDLE  ALT=\"a%5E2%2Aa%5E2=a%5E%282%2B2%29=a%5E4\"   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=f%28ax%2Cay%29+=+a%5E4%28x%5E4+%2B+3x%5E2y%5E2+%2B+y%5E4%29 ALIGN=MIDDLE  ALT=\"f%28ax%2Cay%29+=+a%5E4%28x%5E4+%2B+3x%5E2y%5E2+%2B+y%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E4 ALIGN=MIDDLE  ALT=\"a%5E4\"   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=f%28ax%2Cay%29+=+a%5E4f%28x%2Cy%29 ALIGN=MIDDLE  ALT=\"f%28ax%2Cay%29+=+a%5E4f%28x%2Cy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now replace the expression in the parenthesis with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2Cy%29 ALIGN=MIDDLE  ALT=\"f%28x%2Cy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (this is possible since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2Cy%29+=+x%5E4+%2B+3x%5E2y%5E2+%2B+y%5E4 ALIGN=MIDDLE  ALT=\"f%28x%2Cy%29+=+x%5E4+%2B+3x%5E2y%5E2+%2B+y%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >) </SPAN>\n" );
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