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
Solution:
Given, the expressions are x⁴ - xy + 2y² and -x⁴ + xy + 2y².
We have to find the sum of the given expressions.
Sum = x⁴ - xy + 2y² + (-x⁴ + xy + 2y²)
= x⁴ - x⁴ - xy + xy + 2y² + 2y²
= 0 + 0 + 4y²
= 4y²
The sum has one term with variable y.
Therefore, 4y² is a monomial and polynomial in y.
✦ Try This: The sum of 5x² + 4xy and 6x² - 8xy is
Given, the expressions are 5x² + 4xy and 6x² - 8xy.
We have to find the sum of the given expressions.
Sum = 5x² + 4xy + (6x² - 8xy)
= 5x² + 4xy + 6x² - 8xy
= (5 + 6)x² + (4 - 8)xy
= 11x² - 4xy
Therefore, the sum of 5x² + 4xy and 6x² - 8xy is 11x² - 4xy.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12
NCERT Exemplar Class 7 Maths Chapter 10 Problem 8
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
Summary:
The sum of x⁴ - xy + 2y² and -x⁴ + xy + 2y² is monomial and polynomial in y.
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