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)(8ab) + (7a²)(7b)
(9 x 8)(a x a x b) + (7 x 7)(a² x b)
(72)(a¹⁺¹ x b) + (49)(a²b)
72a²b + 49a²b
121a²b

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

x² - x - 42 = 0
(x + 6)(x - 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 6) or (x - 7) must equal zero:

If (x + 6) = 0, x must equal -6
If (x - 7) = 0, x must equal 7

So the solution is that x = -6 or 7

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).

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 x 6b = (5 x 6) (a x b) = 30ab