document.write( "Question 186253: 8x^3-64 \n" ); document.write( "
Algebra.Com's Answer #139608 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! we can rewrite: \n" ); document.write( "8x^3-64 \n" ); document.write( ". \n" ); document.write( "as: \n" ); document.write( "(2x)^3-(4)^3 \n" ); document.write( ". \n" ); document.write( "Now, it is a \"difference of cubes\" -- a \"special factor\" \n" ); document.write( "a^3 – b^3 = (a – b)(a^2 + ab + b^2) \n" ); document.write( ". \n" ); document.write( "(2x)^3-(4)^3 \n" ); document.write( "= (2x – 4)((2x)^2 + (2x)(4) + 4^2) \n" ); document.write( "= (2x – 4)(4x^2 + 8x + 16) \n" ); document.write( "= 2(x – 2)4(x^2 + 2x + 4) \n" ); document.write( "= 8(x – 2)(x^2 + 2x + 4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |