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.

6a⁸ - 9a⁸ = -3a⁸

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.

4a - 6a = -2a

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c²) is equal to the sum of the two perpendicular sides squared (a² + b²): c² = a² + b² or, solved for c, \(c = \sqrt{a + b}\)

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.

7a - 2 < \( \frac{a}{1} \)
1 x (7a - 2) < a
(1 x 7a) + (1 x -2) < a
7a - 2 < a
7a - 2 - a < 0
7a - a < 2
6a < 2
a < \( \frac{2}{6} \)
a < \(\frac{1}{3}\)

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.

-4z - 4 > 3 - 7z
-4z > 3 - 7z + 4
-4z + 7z > 3 + 4
3z > 7
z > \( \frac{7}{3} \)
z > 2\(\frac{1}{3}\)