Question

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=_______.

(2 points)

1 answer

To solve for x in terms of y, we can rearrange the given equation:

x + 33 = y + 22

Subtract 33 from both sides:

x = y + 22 - 33

Simplify:

x = y - 11

To find x^3, we substitute the expression for x:

x^3 = (y - 11)^3

Expand using the binomial theorem:

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

Simplify:

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

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