Question

Which expression is equivalent to ?

Answer 1

Option 4 .

Explanation:

We need to simplify out the given expression . The given expression is ,

`\rm\implies ( 12x^4 ( x -3)(x+5))/(30x(x+3)(x+5))`

Now see that the term ( x +5) is common in both numerator and denominator . Therefore we can cancel it out . The expression becomes ,

`\rm\implies \frac{ 12x^4 ( x -3)\cancel{(x+5)}}{30x(x+3)\cancel{(x+5)}} =( 12x^4(x-3))/(30x(x+3))`

Now x⁴ and x can again be cancelled out in numerator and denominator . Similarly we can cancel 12 and 30 by 6 . We have ,

`\rm\implies ( 2x^3(x-3))/(5(x+3))`

On looking at the provided options , 4th option is correct .