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.

(9a)(8ab) + (4a²)(2b)
(9 x 8)(a x a x b) + (4 x 2)(a² x b)
(72)(a¹⁺¹ x b) + (8)(a²b)
72a²b + 8a²b
80a²b

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.

9a⁸ + 8a⁸ = 17a⁸

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

c(c - y)
1(-8)(-8 + 7)
1(-8)(-1)
(-8)(-1)
8

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

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, \(c = \sqrt{a + b}\)