document.write( "Question 1003821: Which of the following is a factor of 64x^3-27y^6?\r
\n" ); document.write( "\n" ); document.write( "A. 4x+3y^2
\n" ); document.write( "B. 4x+12xy-3y^2
\n" ); document.write( "C. 4x-12xy^2+9y^4
\n" ); document.write( "D. 16x^2+12xy^2+9y^4
\n" ); document.write( "

Algebra.Com's Answer #620451 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"64x%5E3-27y%5E6\"\r
\n" ); document.write( "\n" ); document.write( "\"4%5E3x%5E3-3%5E3%28y%5E2%29%5E3\"\r
\n" ); document.write( "\n" ); document.write( "\"%284x%29%5E3-%283y%5E2%29%5E3\"----use the difference of cubes formula:\r
\n" ); document.write( "\n" ); document.write( " \"a%5E3+-b%5E3+=+%28a-b%29%28a%5E2+%2B+ab+%2B+b%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "in your case \"a=4x\" and \"b=3y%5E2\"; so, you have\r
\n" ); document.write( "\n" ); document.write( "\"%284x-3y%29%28%284x%29%5E2+%2B+4x%2A3y%5E2+%2B+%283y%5E2%29%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"%284x-3y%29%2816x%5E2+%2B+12xy%5E2+%2B+9y%5E4%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "answer: D. \"16x%5E2%2B12xy%5E2%2B9y%5E4\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );