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.

(3a)(5ab) + (7a²)(9b)
(3 x 5)(a x a x b) + (7 x 9)(a² x b)
(15)(a¹⁺¹ x b) + (63)(a²b)
15a²b + 63a²b
78a²b

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.

8x - 2 < 5 + 5x
8x < 5 + 5x + 2
8x - 5x < 5 + 2
3x < 7
x < \( \frac{7}{3} \)
x < 2\(\frac{1}{3}\)

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.

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 56 as well and sum (Inside, Outside) to equal -15. For this problem, those two numbers are -8 and -7. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² - 15y + 56
y² + (-8 - 7)y + (-8 x -7)
(y - 8)(y - 7)

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.

7a - 7a = 0a