document.write( "Question 402926: 1) Simplify the expression: 14/(3x) + (x+5)/(3x)\r
\n" ); document.write( "\n" ); document.write( "2) Simplify the expression: 4/(x+2) - 3/(x+2)\r
\n" ); document.write( "\n" ); document.write( "3)Simplify the expression: 3/x + 2/x^2\r
\n" ); document.write( "\n" ); document.write( "Please help me! thankyou so much i really appreciate it
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Algebra.Com's Answer #285089 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"14%2F%283x%29%2B%28x%2B5%29%2F%283x%29\"$
\n" ); document.write( "The denominators are the same so we can go ahead and add them. As always, you just add the numerators when adding fractions. So we get:
\n" ); document.write( " $\"14%2Bx%2B5%2F%283x%29\"$
\n" ); document.write( "which simplifies to:
\n" ); document.write( " $\"%28x%2B19%29%2F%283x%29\"$

\n" ); document.write( " $\"4%2F%28x%2B2%29+-+3%2F%28x%2B2%29\"$
\n" ); document.write( "The denominators are the same so we can go ahead and subtract them. As always, you just subtract the numerators when subtracting fractions. So we get:
\n" ); document.write( " $\"%284-3%29%2F%28x%2B2%29\"$
\n" ); document.write( "which simplifies to:
\n" ); document.write( " $\"1%2F%28x%2B2%29\"$

\n" ); document.write( " $\"3%2Fx+%2B+2%2Fx%5E2\"$
\n" ); document.write( "The denominators are not the same. So we must make then the same before we add. We can turnt he first denominator into $\"x%5E2\"$ if we multiply the numerator and denmominator of that fraction by x:
\n" ); document.write( " $\"%283%2Fx%29%28x%2Fx%29+%2B+2%2Fx%5E2\"$
\n" ); document.write( "which gives us:
\n" ); document.write( " $\"%283x%29%2Fx%5E2+%2B+2%2Fx%5E2\"$
\n" ); document.write( "Now we can add:
\n" ); document.write( " $\"%283x+%2B+2%29%2Fx%5E2\"$ \n" ); document.write( "

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