Understanding the Equation a^2 - b^2 = 9

The video tutorial explains how to solve a mathematical problem involving positive integers A and B, where a^2 - B^2 = 9. It demonstrates the use of the difference of squares to express the equation and solve for A and B. The tutorial then shows how to calculate A^2 + B^2 using the values found for A and B, resulting in a final answer of 41.

What is the equation given in the problem that needs to be solved?

• a^2 + b^2 = 9

• a^2 / b^2 = 9

• a^2 - b^2 = 9

• a^2 * b^2 = 9

Which of the following is a valid factorization of 9 used in the problem?

• 5 * 2

• 2 * 4.5

• 1 * 9

• 6 * 1.5

What are the values of A and B after solving the system of equations?

• A = 3, B = 6

• A = 5, B = 4

• A = 6, B = 3

• A = 4, B = 5

How is the value of a^2 + b^2 calculated?

• By multiplying the squares of A and B

• By subtracting the squares of A and B

• By adding the squares of A and B

• By dividing the squares of A and B

What is the final value of a^2 + b^2?

• 49

• 41

• 45

• 36