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(9x^2 + 6x)/12x
\n" ); document.write( "the numerator can be factored as follows:
\n" ); document.write( "(9x^2 + 6x) = x * (9x + 6) = 3x * (3x + 2)
\n" ); document.write( "the equation becomes:
\n" ); document.write( "3x * (3x + 2)/12x
\n" ); document.write( "the x in the numerator and denominator cancel out:
\n" ); document.write( "3 * (3x + 2) / 12
\n" ); document.write( "the 3 in the numerator divides into the 12 into the denominator so the equation becomes:
\n" ); document.write( "(3x + 2)/4
\n" ); document.write( "-----
\n" ); document.write( "i think that's as far as you can go.
\n" ); document.write( "is the simplification valid?
\n" ); document.write( "try substituting in the original equation and in the simplified equation.
\n" ); document.write( "let x = 2
\n" ); document.write( "(9x^2 + 6x) / 12 x becomes:
\n" ); document.write( "36 + 12) / 12 * 2
\n" ); document.write( "48/24
\n" ); document.write( "2
\n" ); document.write( "-----
\n" ); document.write( "in the simplified equation:
\n" ); document.write( "let x = 2
\n" ); document.write( "(3*2 + 2)/4
\n" ); document.write( "(6 + 2)/4
\n" ); document.write( "8/4
\n" ); document.write( "2
\n" ); document.write( "-----
\n" ); document.write( "since both the original equation and the simplified equation yield the same answer, then the simplification is good.
\n" ); document.write( "-----
\n" ); document.write( "i think that's you can't go any further than that.
\n" ); document.write( "so the simplified form would be:
\n" ); document.write( "(3x+2)/4
\n" ); document.write( "-----
\n" ); document.write( " \n" ); document.write( "