The sum of x4 – xy + 2y2 and –x4 + xy + 2y2 is(a) Monomial and

1.	The sum of x4 – xy + 2y2 and –x4 + xy + 2y2 is(a) Monomial and polynomial in y(b) Binomial and Polynomial(c) Trinomial and polynomial(d) Monomial and polynomial in x
Answer» (a) Monomial and polynomial in y 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

The sum of x4 – xy + 2y2 and –x4 + xy + 2y2 is(a) Monomial and polynomial in y(b) Binomial and Polynomial(c) Trinomial and polynomial(d) Monomial and polynomial in x

Answer»

(a) Monomial and polynomial in y

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