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)(6ab) - (4a²)(6b)
(4 x 6)(a x a x b) - (4 x 6)(a² x b)
(24)(a¹⁺¹ x b) - (24)(a²b)
24a²b - 24a²b
0a²b

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)(5ab) + (6a²)(5b)
(5 x 5)(a x a x b) + (6 x 5)(a² x b)
(25)(a¹⁺¹ x b) + (30)(a²b)
25a²b + 30a²b
55a²b

You need to find the value of c so solve the first equation in terms of x:

-4c + x = 6
x = 6 + 4c

then substitute the result (6 - -4c) into the second equation:

7c - 5(6 + 4c) = -8
7c + (-5 x 6) + (-5 x 4c) = -8
7c - 30 - 20c = -8
7c - 20c = -8 + 30
-13c = 22
c = \( \frac{22}{-13} \)
c = -1\(\frac{9}{13}\)

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s²).

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, 8) and (2, -4) so the slope becomes: