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To find (a+b)^2, given a^2 + b^2 = 29 and ab = 10, substitute the given values into the equation (a+b)^2 = a^2 + 2ab + b^2, resulting in (a+b)^2 = 49.

The expression 3³ ÷ 3 ÷ 3 simplifies to 1.

The only real solution to the cubic equation a^3 + a^2 - 36 = 0 is a = 3.

The solution to the equation X^3 - X^0 = 26 is X = 3.

24 is 60 percent of 40.

The determinant of the given 4x4 matrix is calculated using cofactor expansion along the fourth row, resulting in a determinant of -21.

The determinant of the 2x2 matrix [[2, 2], [3, 5]] is calculated as (2 * 5) - (2 * 3) = 4.

The equation (x-1)^(|x|-4) = 1 has solutions x = -4, 0, 2, and 4.

The difference of squares formula is used to evaluate the expression 100^2 - 99^2, resulting in 199.

To find the smallest possible values for A and B in a 10-digit number divisible by both 8 and 9, the last three digits (9B8) must be divisible by 8, and the sum of all digits must be divisible by 9. This leads to B=2 and A=3 as the smallest possible values.