document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=446207>Question 446207</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help please, I don't understand how to solve this, thank you I appreciate it.\r<BR>\n" );
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document.write( "Multiply<BR>\n" );
document.write( "(2+ &#8730;5) (2-&#8730;5)<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 #307275 by </B><A HREF=/tutors/aboutme.mpl?userid=Leaf+W.><B>Leaf W.(135)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Leaf+W.><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=Leaf+W.><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=307275\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are two ways to do this problem--one way is the long version, and one is a sort of shortcut. You will need to know the long way for other problems that are not as convenient, but the shortcut is extremely convenient and will save you much time.<BR>\n" );
document.write( "Do you know how to multiply binomials using the FOIL method? That is the long version of solving it. In case you don't, here it is step by step.<BR>\n" );
document.write( "1. Firsts--multiply the first number of each binomial--in this case, 2 and 2, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A2 ALIGN=MIDDLE  ALT=\"2%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4<BR>\n" );
document.write( "2. Outers--multiply the two outer numbers of the entire expression--in this case, 2 and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%285%29 ALIGN=MIDDLE  ALT=\"-sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%28-sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"2%2A%28-sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2sqrt%285%29 ALIGN=MIDDLE  ALT=\"-2sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3. Inners--multiply the two innermost numbers of the entire expression--in this case, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and 2, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%285%29%29%2A2 ALIGN=MIDDLE  ALT=\"%28sqrt%285%29%29%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"2%28sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4. Lasts--multiply the last number of each binomial--in this case, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt5 ALIGN=MIDDLE  ALT=\"sqrt5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"-%28sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28sqrt%285%29%29%2A%28sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"-%28sqrt%285%29%29%2A%28sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -5 because the square root of 5 times the square root of 5 is 5, and one has a negative<BR>\n" );
document.write( "==>Add your answers from steps 1-4: 4 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%28sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"-2%28sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"2%28sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 5<BR>\n" );
document.write( "==>Combine like terms. Notice that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%28sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"-2%28sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"2%28sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > cancel each other out. 4 - 5 = -1. -1 is your final answer.<BR>\n" );
document.write( "***SHORTCUT:<BR>\n" );
document.write( "Just as with variable binomials, you can take a shortcut by not solving for the inner and outer numbers. This is because in all differences of squares--which are binomials that take the form (a + b)(a - b) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+-+b%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+-+b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >--the values of the outers and innies are opposites and cancel each other out. In your case your 'a' is 2 and your 'b' is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so you can plug these values into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+-+b%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+-+b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%29%5E2+-+%28sqrt%285%29%29%5E2 ALIGN=MIDDLE  ALT=\"%282%29%5E2+-+%28sqrt%285%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==>Multiply by the exponents: 4 - 5<BR>\n" );
document.write( "==>Add like terms: -1<BR>\n" );
document.write( "Therefore, your final answer is -1 </SPAN>\n" );
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