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.

(5a)(9ab) - (5a²)(6b)
(5 x 9)(a x a x b) - (5 x 6)(a² x b)
(45)(a¹⁺¹ x b) - (30)(a²b)
45a²b - 30a²b
15a²b

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.

9c + 9 < \( \frac{c}{5} \)
5 x (9c + 9) < c
(5 x 9c) + (5 x 9) < c
45c + 45 < c
45c + 45 - c < 0
45c - c < -45
44c < -45
c < \( \frac{-45}{44} \)
c < -1\(\frac{1}{44}\)

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.

2a - 8a = -6a

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r²h and the surface area is 2(π r²) + 2π rh.

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 x 6b = (4 x 6) (a x b) = 24ab