Home
/
English
/
(b) Simplify (3-x)/(3x^(2)-5x-12) .

Question

(b) Simplify (3-x)/(3x^(2)-5x-12) .

(b) Simplify (3-x)/(3x^(2)-5x-12) .

expert verifiedVerification of experts

Answer

4.6262 Voting
avatar
MichaelMaster · Tutor for 5 years

Answer

<p> -1/(3x + 4)</p>

Explain

<p> <br />1. The given expression is \((3-x)/(3x^2-5x-12)\).<br />2. To simplify the expression, we need to factorize the numerator and the denominator.<br />3. The numerator is already in its simplest form, which is \(3-x\).<br />4. For the denominator, \(3x^2-5x-12\), we need to factorize it. The factorized form of the denominator is \((3x + 4)(x - 3)\).<br />5. Now, dividing the numerator by each term in the denominator, we get:<br /> - \(3/(3x + 4) - x/(3x + 4)\)<br /> - \(3/(x - 3) - x/(x - 3)\)<br />6. Combining the terms, we get the simplified expression as \(-1/(3x + 4)\).<br /></p>
Click to rate:

Hot Questions

More x