document.write( "Question 1200500: Factor $\"+16d%5E3f-64d%5E2f%2B48df+\"$ \n" ); document.write( "

Algebra.Com's Answer #834647 by Theo(13342) $\"\"$ $\"About$

You can put this solution on YOUR website!
factor out df to get:
\n" ); document.write( "16d^3f - 64d^2f + 48df = df * (16d^2 - 64d + 48)
\n" ); document.write( "factor out 16 to get:
\n" ); document.write( "16df * (d^2 - 4d + 3)
\n" ); document.write( "factor d^2 - 4d + 3 to get:
\n" ); document.write( "16df * (d-3) * d-1)
\n" ); document.write( "i believe that will be your answer.
\n" ); document.write( "to confirm the factoring is correct, choose a random value of d and a random value of f and evaluate the original equation and the simplified equation.
\n" ); document.write( "when i chose d = 5 and f = 3.
\n" ); document.write( "the original equation becomes:
\n" ); document.write( "16 * 5^3 * 3 - 64 * 5^2 * 3 + 48 * 5 * 3 = 1920
\n" ); document.write( "the simplified equation becomes:
\n" ); document.write( "16 * 5 * 3 * 2 * 4 = 1920
\n" ); document.write( "you get the same answer, indicating that the factorization was done correctly.\r
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