Question

The sum of x⁴ – xy + 2y² and –x⁴ + xy + 2y² is ______.

Options

• Monomial and polynomial in y

• Binomial and Polynomial

• Trinomial and polynomial

• Monomial and polynomial in x

Answer 1

The sum of x⁴ – xy + 2y² and –x⁴ + xy + 2y² is monomial and polynomial in y.

Explanation:

Consider the given equation, x⁴ – xy + 2y² and –x⁴ + xy + 2y²

Sum of two expressions = (x⁴ – xy + 2y²) + (–x⁴ + xy + 2y²)

= x⁴ – xy + 2y² – x⁴ + xy + 2y²

= (x⁴ – x⁴) + (–xy + xy) + (2y² + 2y²)

= 0 + 0 + 4y²

= 4y²