Question

Perform the indicated operation to determine if the givensimplification is correct. If it is correct, select TRUE. If it is notcorrect, select FALSE.5La50x3 + 10x250x + 10110:22

Answer 1

True

Step-by-step explanation

To simplify this expression, we can take x² as a common factor of the numerator of the first fraction,

`(50x^3+10x^2)/(50x+10)\cdot(5)/(10x^2)=(x^2(50x+10))/(50x+10)\cdot(5)/(10x^2)`

The factor (50x + 10) cancels out, as well as the factor x²,

`(x^2(50x+10))/(50x+10)\cdot(5)/(10x^2)=(5)/(10)`

And then 5/10 simplifies to 1/2,

`(5)/(10)=(1)/(2)`

Hence, the simplification is correct.