document.write( "Question 1199432: It is possible to factor x^2 - y^2 by the technique of adding in an extra term, and taking it out again:
\n" ); document.write( "x^2 - y^2 = x^2 - xy + xy - y^2
\n" ); document.write( "= x(x - y) + y(x - y)
\n" ); document.write( "= (x + y)(x - y)
\n" ); document.write( "Apply this technique to determine a factorization of x^4 - y^4\r
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\n" ); document.write( "\n" ); document.write( "I'd like to thank Ms.Ikelyn who answered this question previously by using the difference of squares. And while I am thankful for having been provided another perspective, I would also like to know how to factor x^4 - y^4 using that odd \"add in a term and take it out again\" method. Please let me know how, thank you!\r
\n" ); document.write( "\n" ); document.write( "Ref to Ms.Ikelyn's solution: https://www.algebra.com/tutors/students/your-answer.mpl?question=1199431\r
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Algebra.Com's Answer #833311 by ikleyn(52776)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "It is possible to factor x^2 - y^2 by the technique of adding in an extra term, and taking it out again:
\n" ); document.write( "x^2 - y^2 = x^2 - xy + xy - y^2
\n" ); document.write( "= x(x - y) + y(x - y)
\n" ); document.write( "= (x + y)(x - y)
\n" ); document.write( "Apply this technique to determine a factorization of x^4 - y^4\r
\n" ); document.write( "\n" ); document.write( "I'd like to thank Ms.Ikelyn who answered this question previously by using the difference of squares.
\n" ); document.write( "And while I am thankful for having been provided another perspective, I would also like to know
\n" ); document.write( "how to factor x^4 - y^4 using that odd \"add in a term and take it out again\" method. Please let me know how, thank you!
\n" ); document.write( "Ref to Ms.Ikelyn's solution: https://www.algebra.com/tutors/students/your-answer.mpl?question=1199431
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document.write( "x^4 - y^4 = \"add and subtract\" = (x^4 - x^2*y^2) + (x^2*y^2 - y^4) = x^2*(x^2-y^2) + y^2*(y^2-x^2) = \r\n" );
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document.write( "          = (x^2-y^2)*(x^2+y^2) = (x+y)*(x-y)*(x^2+y^2).    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Done and complete in the way you insist.\r
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\n" ); document.write( "\n" ); document.write( "It is not another way or another perspective.\r
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\n" ); document.write( "\n" ); document.write( "It is the same way and the same perspective, but expressed/retold in other words.\r
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\n" ); document.write( "\n" ); document.write( "            The same sock,  but only turned inside out.\r
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