document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=104535>Question 104535</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help factoring the following:<BR>\n" );
document.write( "16x^2-25 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #76088 by </B><A HREF=/tutors/aboutme.mpl?userid=TP><B>TP(29)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TP><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=76088\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You need to know about the difference of two squares.\r<BR>\n" );
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document.write( "a^2 - b^2 = (a+b)*(a-b) or more simply,(a+b)(a-b).\r<BR>\n" );
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document.write( "In your question think of 16x^2 as (4^2)*x^2 or more simply,(4^2)(x^2).<BR>\n" );
document.write( "Now (4^2)(x^2)=(4*x)^2 or more simply (4x)^2.<BR>\n" );
document.write( "So 16x^2=(4x)^2.<BR>\n" );
document.write( "Also think of 25 as (5)^2.<BR>\n" );
document.write( "So now we can write: 16x^2-25=(4x)^2-(5)^2.<BR>\n" );
document.write( "Now the difference of two squares tells us that\r<BR>\n" );
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document.write( "                         a^2-b^2=(a+b)(a-b).<BR>\n" );
document.write( "Compare your (4x)^2-(5)^2 to a^2-b^2.<BR>\n" );
document.write( "If you look carefully you can see that a is in the same place as 4x and b is in the same place as 5.<BR>\n" );
document.write( "So now we can replace a and b by 4x and 5 respectively.<BR>\n" );
document.write( "This means that \r<BR>\n" );
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document.write( "   a^2-b^2=(a+b)(a-b) can be written as (4x)^2-(5)^2=(4x+5)(4x-5)ANS </SPAN>\n" );
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