document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=999760>Question 999760</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the error in each of the following and provide an explanation of the mistake made. <BR>\n" );
document.write( "    a).  &#119909;2+25= (&#119909;+5)(&#119909;+5) <BR>\n" );
document.write( "   b). 10&#119909;3+15&#119909;2+5&#119909; = 5&#119909;(2&#119909;2+3&#119909;) <BR>\n" );
document.write( " <BR>\n" );
document.write( " <BR>\n" );
document.write( " <BR>\n" );
document.write( "   c). &#119909;2&#8722;2&#119909;+24= (&#119909;&#8722;6)(&#119909;+4) <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #617312 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=617312\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "a).  \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B25=+%28x%2B5%29%28x%2B5%29 ALIGN=MIDDLE  ALT=\"x%5E2%2B25=+%28x%2B5%29%28x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > => this is not equal,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B5%5E2%3C%3E+%28x%2B5%29%28x%2B5%29 ALIGN=MIDDLE  ALT=\"x%5E2%2B5%5E2%3C%3E+%28x%2B5%29%28x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B5%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the sum of squares and the rule for factoring  the sum of squares:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be factorized as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bib%29%28a-ib%29 ALIGN=MIDDLE  ALT=\"%28a%2Bib%29%28a-ib%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if your factors were <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5i%29%28x%2B5i%29 ALIGN=MIDDLE  ALT=\"%28x-5i%29%28x%2B5i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, it would work because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B25=%28x-5i%29%28x%2B5i%29 ALIGN=MIDDLE  ALT=\"x%5E2%2B25=%28x-5i%29%28x%2B5i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "   b). \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x%5E3%2B15x%5E2%2B5x+=+5x%282x%5E2%2B3x%29+ ALIGN=MIDDLE  ALT=\"10x%5E3%2B15x%5E2%2B5x+=+5x%282x%5E2%2B3x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >....missing one more term in parentheses\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x%5E3%2B15x%5E2%2B5x+=+5x%282x%5E2%2B3x%2B1%29+ ALIGN=MIDDLE  ALT=\"10x%5E3%2B15x%5E2%2B5x+=+5x%282x%5E2%2B3x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( " <BR>\n" );
document.write( " <BR>\n" );
document.write( "   c). \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-2x%2B24=+%28x-6%29%28x%2B4%29+ ALIGN=MIDDLE  ALT=\"x%5E2-2x%2B24=+%28x-6%29%28x%2B4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-6%29%28x%2B4%29+ ALIGN=MIDDLE  ALT=\"%28x-6%29%28x%2B4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B4x-6x-24=x%5E2-2x-24+ ALIGN=MIDDLE  ALT=\"x%5E2%2B4x-6x-24=x%5E2-2x-24+\"   DISABLED_style= \"max-width:90%; height:auto;\" >; as you can see <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-2x%2B24%3C%3E+x%5E2-2x-24+ ALIGN=MIDDLE  ALT=\"x%5E2-2x%2B24%3C%3E+x%5E2-2x-24+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-2x%2B24=%28x%5E2-2x%2Bb%5E2%29-b%5E2%2B24=%28x%5E2-2x%2B1%5E2%29-1%5E2%2B24=%28x-1%29%5E2%2B23 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >; so, here we will have complex solutions again\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );