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)(4ab) + (7a²)(5b)
(9 x 4)(a x a x b) + (7 x 5)(a² x b)
(36)(a¹⁺¹ x b) + (35)(a²b)
36a²b + 35a²b
71a²b

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

9c - 5z = -2c + 4z + 4
9c = -2c + 4z + 4 + 5z
9c + 2c = 4z + 4 + 5z
11c = 9z + 4
c = \( \frac{9z + 4}{11} \)
c = \( \frac{9z}{11} \) + \( \frac{4}{11} \)
c = \(\frac{9}{11}\)z + \(\frac{4}{11}\)

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 7 x 2 = \( \frac{14}{2} \) = 7

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.

8a³ - 4a³ = 4a³

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).