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.

(7a)(8ab) - (3a²)(8b)
(7 x 8)(a x a x b) - (3 x 8)(a² x b)
(56)(a¹⁺¹ x b) - (24)(a²b)
56a²b - 24a²b
32a²b

You need to find the value of a so solve the first equation in terms of z:

8a + z = 8
z = 8 - 8a

then substitute the result (8 - 8a) into the second equation:

-a - 3(8 - 8a) = 2
-a + (-3 x 8) + (-3 x -8a) = 2
-a - 24 + 24a = 2
-a + 24a = 2 + 24
23a = 26
a = \( \frac{26}{23} \)
a = 1\(\frac{3}{23}\)

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 4) and (2, 2) so the slope becomes:

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) + (4a²)(2b)
(5 x 9)(a x a x b) + (4 x 2)(a² x b)
(45)(a¹⁺¹ x b) + (8)(a²b)
45a²b + 8a²b
53a²b

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y + 2)(y + 8)
(y x y) + (y x 8) + (2 x y) + (2 x 8)
y² + 8y + 2y + 16
y² + 10y + 16