Question

X-31The rational expression +5x X+2is equivalent to

Answer 1

Step 1 :

In this question, we are meant to simplify the rational fractions:

`\frac{\text{x - 3 }}{5\text{ x }}\text{ + }\frac{1}{x\text{ + 2}}`

`=\frac{(\text{ x - 3 ) ( x + 2 ) + 5 x }}{5\text{ x ( x + 2 )}}`
`=\frac{x^2\text{ + 2 x - 3 x -6 + 5 x }}{5\text{ x ( x + 2 )}}`
`=\text{ }\frac{x^2\text{ + 4x - 6 }}{5\text{ x ( x + 2 )}}\text{ --OPTION B}`