document.write( "Question 1163014: How do I simplify the expression and then factor?
\n" ); document.write( "Expression: 23w^3 - 5w^2x + 8wx^2 - 8w^3 - 13wx^2 + 30w^2x \n" ); document.write( "

Algebra.Com's Answer #786962 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "(1) Combine like terms -- terms with the same combinations of variables and powers.

\n" ); document.write( " $\"23w%5E3+-+5w%5E2x+%2B+8wx%5E2+-+8w%5E3+-+13wx%5E2+%2B+30w%5E2x\"$

\n" ); document.write( " $\"%2823w%5E3-8w%5E3%29%2B%28-5w%5E2x%2B30w%5E2x%29%2B%288wx%5E2-13wx%5E2%29\"$

\n" ); document.write( " $\"15w%5E3%2B25w%5E2x-5wx%5E2\"$

\n" ); document.write( "(2) Factor out the greatest common factor of all three terms.

\n" ); document.write( " $\"5w%283w%5E2%2B5wx-x%5E2%29\"$

\n" ); document.write( "The remaining quadratic factor does not factor further, so this is the final simplified and factored expression.

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

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