This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Factor the quadratic expression in the numerator of the first fraction. We need to find two numbers that multiply to -21 and add to 4. These numbers are 7 and -3. So, t^2+4t-21 = (t+7)(t-3). Step 2: Substitute the factored expression back into the original problem. ((t+7)(t-3))/(9) × (11)/((t-3)(t+13)) Step 3: Cancel out the common term (t-3) from the numerator and the denominator. (t+7)(t-3)9 × (11)/((t-3))(t+13) Step 4: Multiply the remaining terms in the numerator and the denominator. (11(t+7))/(9(t+13)) The fully simplified expression is: (11(t+7))/(9(t+13)) 3 done, 2 left today. You're making progress.