How do you factor 9x^3 + 64 ( show steps)

First, let's review the formula for the "sum of two cubes:"

a^3 + b^3 = (a + b)(a^2 - ab + b^2).

Unfortunately, 9 is not a perfect cube. The cube root of 9 is 9^(1/3), and the square of the cube root of 9 is therefore 9^(2/3).

Thus,

9x^3 + 64 = (9^(1/3)*x + 4) * (9^(2/3)x^2 - 4*9^(1/3) + 16)

You need the total of square feet of the mural before you can divide 50 square feet to it and get your answer of how many pints of paint you will need.

For example.

Mural size is 2800 square feet

1 pint per 50 square feet

Work out problem.

2800 square feet ÷ 50 square feet= ?

 = 56 pints of paint