(3a - b + 3) - (a + b) is a binomial. State whether the statement is true or false.
Solution:
Given, (3a - b + 3) - (a + b) is a binomial.
We have to determine if the given statement is true or false.
Now, (3a - b + 3) - (a + b) = 3a - b + 3 - a - b
= (3 -1)a - b - b + 3
= 2a - 2b + 3
Number of terms in 2a - 2b + 3 = 3
Expression with two unlike terms is called a 'Binomial’.
(3a - b + 3) - (a + b) is a trinomial.
Therefore, the statement “(3a - b + 3) - (a + b) is a binomial” is false.
✦ Try This: (a + 2b + 3) + (a + b) is a binomial. State whether the statement is true or false.
Given, (a + 2b + 3) + (a + b) is a binomial.
We have to determine if the given statement is true or false.
Now, (a + 2b + 3) + (a + b) = a + 2b + 3 + a + b
By distributive property,
= a + a + 2b + b + 3
= 2a + 3b + 3
Number of terms in 2a + 3b + 3 = 3
Expression with two unlike terms is called a 'Binomial’.
Therefore, the statement “(a + 2b + 3) + (a + b) is a binomial” is false.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12
NCERT Exemplar Class 7 Maths Chapter 10 Problem 34
(3a - b + 3) - (a + b) is a binomial. State whether the statement is true or false.
Summary:
The given statement, “(3a - b + 3) - (a + b) is a binomial” is false.
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