document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=18339>Question 18339</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the expression of lowest degree by which (X^2+3X-10)(X^2-X-2) must be multiplied to give a perfect square?\r<BR>\n" );
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document.write( "Find the square root of (6X^2+7X-3)(3X^2+2X-1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #8779 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=8779\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the expression of lowest degree by which (X^2+3X-10)(X^2-X-2) must be multiplied to give a perfect square?<BR>\n" );
document.write( "(X^2+3X-10)(X^2-X-2)=(x^2+5x-2x-10)(x^2-2x+x-2)=[x(x+5)-2(x+5)][x(x-2)+1(x-2)]<BR>\n" );
document.write( "=(x+5)(x-2)(x-2)(x+1)=(x+5)(x+1)(x-2)^2..for this to be perfect square ,we have to multiply with (x+5)(x+1)=x^2+6x+5<BR>\n" );
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document.write( "Find the square root of (6X^2+7X-3)(3X^2+2X-1)<BR>\n" );
document.write( "(6X^2+7X-3)(3X^2+2X-1)=(6x^2+9x-2x-3)(3x^2+3x-x-1)<BR>\n" );
document.write( "=[3x(2x+3)-1(2x+3)][3x(x+1)-1(x+1)]<BR>\n" );
document.write( "=(3x-1)(2x+3)(3x-1)(x+1)=[(3x-1)^2](x+1)(2x+3)<BR>\n" );
document.write( "hence square root of (6X^2+7X-3)(3X^2+2X-1)<BR>\n" );
document.write( "=(3x-1)squarerootof(x+1)(2x+3)...further simplification is not possible .if thereis some mistake in the problem check and correct to find if we get a perfect square root. </SPAN>\n" );
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