A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.

To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

8b - 5x = 5b + 6x + 6
8b = 5b + 6x + 6 + 5x
8b - 5b = 6x + 6 + 5x
3b = 11x + 6
b = \( \frac{11x + 6}{3} \)
b = \( \frac{11x}{3} \) + \( \frac{6}{3} \)
b = 3\(\frac{2}{3}\)x + 2

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.

(6a)(6ab) - (4a²)(3b)
(6 x 6)(a x a x b) - (4 x 3)(a² x b)
(36)(a¹⁺¹ x b) - (12)(a²b)
36a²b - 12a²b
24a²b

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 combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

3a⁴ - 3a⁴ = 0a⁴