Answer:
Option 4 .
Step-by-step explanation:
We need to simplify out the given expression . The given expression is ,
[tex]\rm\implies \dfrac{ 12x^4 ( x -3)(x+5)}{30x(x+3)(x+5)}[/tex]
Now see that the term ( x +5) is common in both numerator and denominator . Therefore we can cancel it out . The expression becomes ,
[tex]\rm\implies \dfrac{ 12x^4 ( x -3)\cancel{(x+5)}}{30x(x+3)\cancel{(x+5)}} =\dfrac{ 12x^4(x-3)}{30x(x+3)}[/tex]
Now x⁴ and x can again be cancelled out in numerator and denominator . Similarly we can cancel 12 and 30 by 6 . We have ,
[tex]\rm\implies \dfrac{ 2x^3(x-3)}{5(x+3)}[/tex]
On looking at the provided options , 4th option is correct .
