document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=705185>Question 705185</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor 24b^2-150 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #434443 by </B><A HREF=/tutors/aboutme.mpl?userid=lenny460><B>lenny460(1073)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lenny460><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=lenny460><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=434443\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factor 24b^2-150\r<BR>\n" );
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document.write( "Divide each term by 6\r<BR>\n" );
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document.write( "24b^2 / 6 = 4b^2\r<BR>\n" );
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document.write( "-150 / 6 = -25\r<BR>\n" );
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document.write( "Therefore we now have:\r<BR>\n" );
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document.write( "6(4b^2 - 25)\r<BR>\n" );
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document.write( "4b^2 - 25 is a perfect square.\r<BR>\n" );
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document.write( "We factor the difference of two squares:\r<BR>\n" );
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document.write( "4b^2 - 25 = (2b - 5)(2b + 5)\r<BR>\n" );
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document.write( "Therefore the answer is:\r<BR>\n" );
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document.write( "6(2b - 5)(2b + 5)\r<BR>\n" );
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document.write( "Lennox Obuong<BR>\n" );
document.write( "Algebra Tutor </SPAN>\n" );
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