document.write( "Question 382925: (x^3+8/x^2-4)times(x^2-4x+4/x^2-2x+4) my math teacher said i got this wrong my answer was X(x-2)/-2x+4 he said you didnt solve the difference of squares correctly?? \n" ); document.write( "

Algebra.Com's Answer #271257 by stanbon(75887) $\"\"$ $\"About$

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(x^3+8/x^2-4)times(x^2-4x+4/x^2-2x+4) my math teacher said i got this wrong my answer was X(x-2)/-2x+4 he said you didnt solve the difference of squares correctly??
\n" ); document.write( "---------------
\n" ); document.write( "This is a \"sum\" .Factor
\n" ); document.write( "x^3+8
\n" ); document.write( "= x^3+2^3
\n" ); document.write( "= (x+2)(x^2-x+2)
\n" ); document.write( "----
\n" ); document.write( "This is a \"difference of squares\":
\n" ); document.write( "Factor x^2-4 = (x+2)(x-2)
\n" ); document.write( "===============================
\n" ); document.write( "==============================
\n" ); document.write( "Your Problem:
\n" ); document.write( "(x^3+8/x^2-4)times(x^2-4x+4/x^2-2x+4)
\n" ); document.write( "-----
\n" ); document.write( "= [(x+2)(x^2-2x+4)/(x+2)(x-2)]
\n" ); document.write( "-----
\n" ); document.write( "Cancel the (x+2) and (x-2) and (x^2-2x+4) factors to get:
\n" ); document.write( "= [1*1/1*1]
\n" ); document.write( "= 1/(x-2)
\n" ); document.write( "==============
\n" ); document.write( "cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "
\n" ); document.write( "
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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