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.

5a⁶ - 3a⁶ = 2a⁶

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

x² - 4x - 32 = 0
(x + 4)(x - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 4) or (x - 8) must equal zero:

If (x + 4) = 0, x must equal -4
If (x - 8) = 0, x must equal 8

So the solution is that x = -4 or 8

The formula for area is πr². Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{4}{2} \)
r = 2
a = πr²
a = π(2²)
a = 4π

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.

y - 2 > \( \frac{y}{3} \)
3 x (y - 2) > y
(3 x y) + (3 x -2) > y
3y - 6 > y
3y - 6 - y > 0
3y - y > 6
2y > 6
y > \( \frac{6}{2} \)
y > 3

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 x 3b = (7 x 3) (a x b) = 21ab