Question

Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial.

x⁴ + 3x³y + 3x²y² – 3x³y – 3xy³ + y⁴ – 3x²y²

Options

• Monomial

• Binomial

• Trinomial

Answer 1

Trinomial

Explanation:

We have, x⁴ + 3x³y + 3x²y² – 3x³y – 3xy³ + y⁴ – 3x²y²

By combining the like terms, 

= x⁴ + 3x³y – 3x³y + 3x²y² – 3x²y² – 3x³y + y⁴

= x⁴ + 0 + 0 – 3x³y + y⁴

= x⁴ + y⁴ – 3x³y

The expression contains three terms. So, it is trinomial.