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1)) Simplify.Express your answer as a single fractior in simplest form. (2u)/(u-5)-u square

Pergunta

1)) Simplify.Express your answer as a single fractior in simplest form.
(2u)/(u-5)-u
square

1)) Simplify.Express your answer as a single fractior in simplest form. (2u)/(u-5)-u square

Solução

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ÍtaloElite · Tutor por 8 anos

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To simplify the expression $\frac{2u}{u-5} - u$, we need to combine the terms into a single fraction.<br /><br />First, let's rewrite the expression with a common denominator:<br />$\frac{2u}{u-5} - \frac{u(u-5)}{u-5}$<br /><br />Now, we can combine the fractions:<br />$\frac{2u - u(u-5)}{u-5}$<br /><br />Simplify the numerator:<br />$\frac{2u - u^2 + 5u}{u-5} = \frac{7u - u^2}{u-5}$<br /><br />Therefore, the simplified expression is $\frac{7u - u^2}{u-5}$.
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