Exercise
$y=10\left(t+\frac{1}{t}\right)^9\left(1-\frac{1}{t^2}\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the rational equation y=10(t+1/t)^9(1+-1/(t^2)). Combine all terms into a single fraction with t as common denominator. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Multiplying the fraction by 10\left(1+\frac{-1}{t^2}\right). Combine all terms into a single fraction with t^2 as common denominator.
Solve the rational equation y=10(t+1/t)^9(1+-1/(t^2))
Final answer to the exercise
$y=\frac{10\left(t^2-1\right)\left(t^2+1\right)^9}{t^{11}}$