Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

If x+33=y+22
,then x3=_______.

1 answer

To solve this problem, we need to isolate the variable x.

Given x + 33 = y + 22, we can start by subtracting 33 from both sides of the equation:

x + 33 - 33 = y + 22 - 33

Simplifying this equation gives us:

x = y - 11

Now that we have isolated x, we can cube both sides of the equation to find x^3:

(x)^3 = (y - 11)^3

Expanding the right side using the binomial expansion formula gives us:

x^3 = y^3 - 3y^2(11) + 3y(11^2) - 11^3

Simplifying this equation gives us:

x^3 = y^3 - 33y^2 + 363y - 1331

Therefore, x^3 = y^3 - 33y^2 + 363y - 1331.