document.write( "Question 1054914: Factor by pulling out the Greatest Common Factor\r
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document.write( "24x^4y^3-16x^3y^5 \n" );
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Algebra.Com's Answer #670110 by Theo(13342)![]() ![]() You can put this solution on YOUR website! your expression is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "24x^4y^3-16x^3y^5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you've got x^4 in the first term and x^3 in the second term. \n" ); document.write( "the greatest common factor that can be removed would be x^3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you've got y^3 in the first term and y^5 in the second term. \n" ); document.write( "the greatest common factor that can be removed would be y^3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you've got 24 in the first term and 16 in the second term. \n" ); document.write( "the greatest common factor that can be removed would be 8.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your final expression should be 8x^3y^3 * (3x - 2y^2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you multiply those factors out, you will get back to the original expression.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8x^3 * y^3 * 3x is equal to 24 * x^4 * y^3 which is the same as 24x^4y^3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8x^3 * y^3 * -2y^2 is equal to -16 * x^3 * y^5 which is the same as -16y^3y^5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add them together and you get 24x^4y^3 - 16y^3y^5 which is the same as your original expression.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's the original expression for convenience of comparison.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "24x^4y^3-16x^3y^5\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |