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.

(2a)(7ab) + (5a²)(6b)
(2 x 7)(a x a x b) + (5 x 6)(a² x b)
(14)(a¹⁺¹ x b) + (30)(a²b)
14a²b + 30a²b
44a²b

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.

-7b + 8z = -3b + 5z + 6
-7b = -3b + 5z + 6 - 8z
-7b + 3b = 5z + 6 - 8z
-4b = -3z + 6
b = \( \frac{-3z + 6}{-4} \)
b = \( \frac{-3z}{-4} \) + \( \frac{6}{-4} \)
b = \(\frac{3}{4}\)z - 1\(\frac{1}{2}\)

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.

(3a)(9ab) - (3a²)(9b)
(3 x 9)(a x a x b) - (3 x 9)(a² x b)
(27)(a¹⁺¹ x b) - (27)(a²b)
27a²b - 27a²b
0a²b

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.

2a² - 2a² = 0a²