ANSWER
True
EXPLANATION
To simplify this expression, we can take x² as a common factor of the numerator of the first fraction,
[tex]\frac{50x^3+10x^2}{50x+10}\cdot\frac{5}{10x^2}=\frac{x^2(50x+10)}{50x+10}\cdot\frac{5}{10x^2}[/tex]
The factor (50x + 10) cancels out, as well as the factor x²,
[tex]\frac{x^2(50x+10)}{50x+10}\cdot\frac{5}{10x^2}=\frac{5}{10}[/tex]
And then 5/10 simplifies to 1/2,
[tex]\frac{5}{10}=\frac{1}{2}[/tex]
Hence, the simplification is correct.
