document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1139471>Question 1139471</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sum or Difference of​ Cubes:\r<BR>\n" );
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document.write( "Example 3.Fill in the parts of the​ step-by-step process of factoring a difference of cubes.\r<BR>\n" );
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document.write( "We want to factor x^3-8\r<BR>\n" );
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document.write( "Step​ 1: Is this a sum or difference of​ cubes? Y or​ N?___\r<BR>\n" );
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document.write( "If​ Yes, construct a template for the sum or difference of two cubes.<BR>\n" );
document.write( "      a^3+b^3   OR a^3-b^3 <BR>\n" );
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document.write( "Step​ 2:  <BR>\n" );
document.write( "​(__)^3​+(__)^3 or ​(___)^3​-(___)^3 Fill in the appropriate bases.\r<BR>\n" );
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document.write( "Step​ 3: Use this pattern to construct the templates <BR>\n" );
document.write( "(a^3+b^3)=(a+b)(a^2-ab+b^2) OR (a^3-b^3)=(a-b)(a^2+ab+b^2)<BR>\n" );
document.write( "   a+b  a^2-ab+b^2  OR a-b  a^2+ab+b^2 <BR>\n" );
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document.write( "Step​ 4:(_______)(__________)  or (_____​)(_____​)Insert the bases in the template.\r<BR>\n" );
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document.write( "Step​ 5: Write the factors of x^3-8=  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #759950 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52847)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=759950\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "1. The <B>cube of the sum formula</B> is &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a+%2B+b%29%5E3+=+a%5E3+%2B+3a%5E2%2Ab+%2B+3a%2Ab%5E2+%2B+b%5E3 ALIGN=MIDDLE  ALT=\"%28a+%2B+b%29%5E3+=+a%5E3+%2B+3a%5E2%2Ab+%2B+3a%2Ab%5E2+%2B+b%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;For details and examples of applications of this formula see the lesson <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/The-cube-of-a-sum-formula.lesson>The cube of the sum formula</A> in this site.\r<BR>\n" );
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document.write( "2. The <B>cube of the difference formula</B> is &nbsp;&nbsp;&nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a+-+b%29%5E3+=+a%5E3+-+3a%5E2%2Ab+%2B+3a%2Ab%5E2+-+b%5E3 ALIGN=MIDDLE  ALT=\"%28a+-+b%29%5E3+=+a%5E3+-+3a%5E2%2Ab+%2B+3a%2Ab%5E2+-+b%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;For details and examples of applications of this formula see the lesson <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/The-cube-of-a-difference.lesson>The cube of the difference formula</A> in this site.\r<BR>\n" );
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document.write( "3. The <B>sum of cubes formula</B> is &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E3+%2B+b%5E3+=+%28a+%2B+b%29%2A%28a%5E2+-+ab+%2B+b%5E2%29 ALIGN=MIDDLE  ALT=\"a%5E3+%2B+b%5E3+=+%28a+%2B+b%29%2A%28a%5E2+-+ab+%2B+b%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;For details and examples of applications of this formula see the lesson <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/The-sum-of-cubes-formula.lesson>The sum of cubes formula</A> in this site.\r<BR>\n" );
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document.write( "4. The <B>difference of cubes formula</B> is &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E3+-+b%5E3+=+%28a+-+b%29%2A%28a%5E2+%2B+ab+%2B+b%5E2%29 ALIGN=MIDDLE  ALT=\"a%5E3+-+b%5E3+=+%28a+-+b%29%2A%28a%5E2+%2B+ab+%2B+b%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;For details and examples of applications of this formula see the lesson <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/The-difference-of-cubes-formula.lesson>The difference of cubes formula</A> in this site.\r<BR>\n" );
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