document.write( "Question 1185497: The polynomial 49a^6−28a^3b+4b^2−4c^−4 can be factored into the product of two polynomials, A⋅B where the coefficient of c in A is less than the coefficient of c in B. Find A and B.\r
\n" ); document.write( "\n" ); document.write( "The numbers after '^' are exponents (6,3,2,-4) \n" ); document.write( "

Algebra.Com's Answer #816346 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "Your expression is

\n" ); document.write( " $\"49a%5E6-28a%5E3b%2B4b%5E2-4c%5E%28-4%29\"$

\n" ); document.write( "It is not a polynomial, because polynomials can't have negative exponents.

\n" ); document.write( "However, the expression is factorable using the pattern P^2-Q^2=(P+Q)(P-Q).

\n" ); document.write( " $\"49a%5E6-28a%5E3b%2B4b%5E2-4c%5E%28-4%29\"$

\n" ); document.write( " $\"%2849a%5E6-28a%5E3b%2B4b%5E2%29-%284c%5E%28-4%29%29\"$

\n" ); document.write( " $\"%287a%5E3-2b%29%5E2-%28%282c%5E%28-2%29%29%5E2%29\"$

\n" ); document.write( " $\"%28%287a%5E3-2b%29%2B2c%5E%28-2%29%29%28%287a%5E3-2b%29-2c%5E%28-2%29%29\"$

\n" ); document.write( " $\"%287a%5E3-2b%2B2c%5E%28-2%29%29%287a%5E3-2b-2c%5E%28-2%29%29\"$

\n" ); document.write( "Note that the two factors are also not polynomials, since they both contain negative exponents.

\n" ); document.write( " \n" ); document.write( "

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