To calculate: The simplified form of the rational expression -frac{15tu^{5}v}{3t^{3}u} and state the restrictions on the variable t, u.

ka1leE 2020-12-24 Answered
To calculate: The simplified form of the rational expression 15tu5v3t3u and state the restrictions on the variable t, u.
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Expert Answer

Cullen
Answered 2020-12-25 Author has 89 answers

To calculate: The simplified form of the rational expression 15tu5v3t3u is 5u4vt2
and restrictions on the variable is t  0, u  0.
Given Information:
The provided rational expression is 15tu5v3t3u.
Formula used:
If, a, b, and c represent real valued expression, then acbc=ab for b  0, c  0. Calculation:
Consider the rational expression, 15tu5v3t3u
Now,
Take common 3tu from the numerator and denominator from the provided rational expression,
15tu5v3t3u
Apply,
if a,b, and c represent real valued expression, then acbc=ab for b  0, c  0.
Therefore,
15tu5v3t3u= 3tu(5u4v)3tu(t2)
Here,
t  0, u  0
Therefore,
The simplified rational expression 15tu5v3t3u is 5u4vt2
and restrictions on the variable is t  0, u  0.

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