Question

Identify the term that's not a possible variable term in the expansion of (xy)⁷.

Answer 1

In the expansion of (xy)⁷, all the terms are possible variable terms.

Step-by-step explanation:

The expansion of (xy)⁷, also known as the Binomial expansion, is given by the binomial theorem.

Using the formula, we can expand (xy)⁷ as:

(xy)⁷ = C(7,0) * (xy)⁷ + C(7,1) * (xy)⁶ + C(7,2) * (xy)⁵ + C(7,3) * (xy)⁴ + C(7,4) * (xy)³ + C(7,5) * (xy)² + C(7,6) * (xy)¹ + C(7,7) * (xy)⁰

Each term in the expansion contains a coefficient (C(n,r)) multiplied by the variable terms (x and y) raised to certain powers. In this case, all the terms in the expansion have the variable term xy. Therefore, all terms are possible variable terms in the expansion.