If the drama club sells 500 tickets at $2.50 each, what will be the profit?

To find out how much money the drama club will make after selling 500 tickets, we first have to know what to multiply. We will multiply the number of tickets sold by the price of each ticket.

500 × 2.50 = 1,250

Therefore, the drama club would make a profit of $1,250.

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81