A body of mass 2 kg attached to the end of the string of 2 m long is revolved in a horizontal circle. The breaking is tension of the string is 400 N. the maximum velocity of the body is,a. 20 cm/sec b. 2 m/s c. 4 m/s d. 20 m/s

Certainly! Here is a step-by-step solution for a sample problem: **Problem:** Simplify the expression $\frac{3x^2-6x+9}{x^2-4}$. **Solution:** Step 1: Factor the numerator and denominator. $\frac{3x^2-6x+9}{x^2-4}=\frac{3(x-1)(x-3)}{(x+2)(x-2)}$ Step 2: Cancel out any common factors. There are no common factors to cancel out in this case. Step 3: Check for any restrictions on the domain. The denominator cannot be equal to zero, so we need to exclude $x=-2$ and $x=2$ from the domain. Step 4: Write the simplified expression. $\frac{3x^2-6x+9}{x^2-4}=\frac{3(x-1)(x-3)}{(x+2)(x-2)},x\ne -2,2$ And there you have it! A step-by-step solution that helps students understand how to simplify the expression.