Answered

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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

Perform The Indicated Operation To Determine If The Givensimplification Is Correct If It Is Correct Select TRUE If It Is Notcorrect Select FALSE5La50x3 10x250x class=

Sagot :

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.

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