Solve. (sqrtu-3)/(u-9)×(sqrtu+3)/(sqrtu+3)

Write Problem: Write down the problem. We have: (sqrt(u) - 3) / (u - 9) * (sqrt(u) + 3) / (sqrt(u) + 3)Notice Common Factor: Notice that (sqrt(u) + 3) appears in both the numerator and the denominator of the second fraction. We can simplify the expression by canceling out (sqrt(u) + 3) from the numerator and the denominator. (sqrt(u) - 3) / (u - 9) * (sqrt(u) + 3) / (sqrt(u) + 3) = (sqrt(u) - 3) / (u - 9) * 1Cancel Common Factor: After canceling, we are left with the following expression: (sqrt(u) - 3) / (u - 9) This is the simplified form of the original expression, as there is nothing more to cancel or simplify.

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Algebra 1

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Q. Solve.

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\frac{\sqrt{u}-3}{u-9} \times \frac{\sqrt{u}+3}{\sqrt{u}+3}

Write Problem: Write down the problem. $\newline$ We have: $(\sqrt{u} - 3) / (u - 9) \times (\sqrt{u} + 3) / (\sqrt{u} + 3)$
Notice Common Factor: Notice that $(\sqrt{u} + 3)$ appears in both the numerator and the denominator of the second fraction. $\newline$ We can simplify the expression by canceling out $(\sqrt{u} + 3)$ from the numerator and the denominator. $\newline$ (\sqrt{u} - \(3) / (u - $9$ ) \times (\sqrt{u} + $3$ ) / (\sqrt{u} + $3$ ) = (\sqrt{u} - $3$ ) / (u - $9$ ) \times $1$
Cancel Common Factor: After canceling, we are left with the following expression: $\newline$ $(\sqrt{u} - 3) / (u - 9)$ $\newline$ This is the simplified form of the original expression, as there is nothing more to cancel or simplify.