Q:

What is the simplified form of the following expression?

Accepted Solution

A:
Answer:242Step-by-step explanation:Simplify the following: 11 ((9^2 - 5^2)/2^2 + 8) Hint: | Evaluate 2^2. 2^2 = 4: 11 ((9^2 - 5^2)/4 + 8) Hint: | Evaluate 5^2. 5^2 = 25: 11 ((9^2 - 25)/4 + 8) Hint: | Evaluate 9^2. 9^2 = 81: 11 ((81 - 25)/4 + 8) Hint: | Subtract 25 from 81. | 7 | 11 | 8 | 1 - | 2 | 5 | 5 | 6: 11 (56/4 + 8) Hint: | Reduce 56/4 to lowest terms. Start by finding the GCD of 56 and 4. The gcd of 56 and 4 is 4, so 56/4 = (4Γ—14)/(4Γ—1) = 4/4Γ—14 = 14: 11 (14 + 8) Hint: | Evaluate 14 + 8 using long addition. | 1 | Β  | 1 | 4 + | | 8 | 2 | 2: 11Γ—22 Hint: | Multiply 11 and 22 together. | 2 | 2 Γ— | 1 | 1 | 2 | 2 2 | 2 | 0 2 | 4 | 2: Answer: 242