Expand the Binomial by Using the Binomial Theorem $$( x + y - 9 ) ^ { 3 }$$

question 215

Multiple Choice

Expand the binomial by using the binomial theorem.
- $$( x + y - 9 ) ^ { 3 }$$

• A) \(x ^ { 3 } + 3 x ^ { 2 } y - 27 x ^ { 2 } + 3 x y ^ { 2 } - 54 x y + 243 x + y ^ { 3 } - 27 y ^ { 2 } + 243 y - 729\)
• B) \(x ^ { 2 } + 2 x y - 18 x + y ^ { 2 } - 18 y + 81\)
• C) \(x ^ { 3 } + y ^ { 3 } - 729\)
• D) \(x ^ { 3 } + 3 x ^ { 2 } y + 27 x ^ { 2 } + 3 x y ^ { 2 } + 54 x y - 243 x + y ^ { 3 } + 27 y ^ { 2 } - 243 y + 729\)

---

Definitions:

Compounded Annually

The process of calculating interest on both the initial principle and the accumulated interest of previous periods once per year.

Interest Rate

The percentage of a sum of money charged for its use, typically expressed as an annual percentage.

Quadratic Form

An expression in algebra where the highest power of a variable is squared, typically in the format ax^2 + bx + c.

Completing The Square

A method used in algebra to solve quadratic equations by converting the equation to a perfect square trinomial.