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.

2a⁵ - 5a⁵ = -3a⁵

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 - 3 > 9 - 6y
-y > 9 - 6y + 3
-y + 6y > 9 + 3
5y > 12
y > \( \frac{12}{5} \)
y > 2\(\frac{2}{5}\)

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 2 x 8) + (2 x 8 x 4) + (2 x 2 x 4)
sa = (32) + (64) + (16)
sa = 112

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

x² + 21x + 58 = 5x - 5
x² + 21x + 58 + 5 = 5x
x² + 21x - 5x + 63 = 0
x² + 16x + 63 = 0

Next, factor the quadratic equation:

x² + 16x + 63 = 0
(x + 7)(x + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 7) or (x + 9) must equal zero:

If (x + 7) = 0, x must equal -7
If (x + 9) = 0, x must equal -9

So the solution is that x = -7 or -9

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).