Identify the binomial out of the following.
(a) 3xy² + 5y - x²y
(b) x²y - 5y - x²y
(c) xy + yz + zx
(d) 3xy² + 5y - xy²
Solution:
We have to find the binomial from the given options.
Expression with two unlike terms is called a 'Binomial’.
(a) 3xy² + 5y - x²y
The terms are 1) 3xy², 2) 5y, 3) - x²y
Therefore, 3xy² + 5y - x²y is trinomial.
(b) x²y - 5y - x²y
By distributive property,
x²y - 5y - x²y = (1 - 1)x²y - 5y
= 0 - 5y
= -5y
Therefore, x²y - 5y - x²y is a monomial.
(c) xy + yz + zx
The terms are 1) xy, 2) yz, 3) zx
Therefore, xy + yz + zx is a trinomial.
(d) 3xy² + 5y - xy²
By distributive property,
3xy² + 5y - xy² = (3 - 1)xy² + 5y
= 2xy² + 5y
The terms are 1) 2xy², 2) 5y
Therefore, 3xy² + 5y - xy² is a binomial.
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☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12
NCERT Exemplar Class 7 Maths Chapter 10 Problem 7
Identify the binomial out of the following. (a) 3xy² + 5y - x²y (b) x²y - 5y - x²y (c) xy + yz + zx (d) 3xy² + 5y - xy²
Summary:
3xy² + 5y - xy² is a binomial since it has only two unlike terms.
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