The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c²) is equal to the sum of the two perpendicular sides squared (a² + b²): c² = a² + b² or, solved for c, \(c = \sqrt{a + b}\)

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(4a)(6ab) - (8a²)(6b)
(4 x 6)(a x a x b) - (8 x 6)(a² x b)
(24)(a¹⁺¹ x b) - (48)(a²b)
24a²b - 48a²b
-24a²b

You need to find the value of b so solve the first equation in terms of x:

b + x = 6
x = 6 - b

then substitute the result (6 - 1b) into the second equation:

2b + 8(6 - b) = 2
2b + (8 x 6) + (8 x -b) = 2
2b + 48 - 8b = 2
2b - 8b = 2 - 48
-6b = -46
b = \( \frac{-46}{-6} \)
b = 7\(\frac{2}{3}\)

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 53° - 60° = 67°

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a² - a² = 3a² but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.