Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial. 50x³ - 21x + 107 + 41x³ - x + 1 - 93 + 71x - 31x³
Solution:
Given, the expression is 50x³ - 21x + 107 + 41x³ - x + 1 - 93 + 71x - 31x³.
We have to combine the like terms and classify the expression.
By combining like terms,
50x³ - 21x + 107 + 41x³ - x + 1 - 93 + 71x - 31x³ = 50x³ - 31x³ + 41x³ - 21x - x + 71x + 107 + 1 - 93
= (50 - 31 + 41)x³ + (71 - 21 - 1)x + 107 + 1 - 93
= (50 + 10)x³ + (50 - 1)x + 107 - 92
= 60x³ + 49x + 15
Therefore, the simplified expression after combining the like terms is 60x³ + 49x + 15.
The expression contains three unlike terms.
Expression with three unlike terms is called a 'Trinomial’.
Therefore, 60x³ + 49x + 15 is a trinomial.
✦ Try This: Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial. 6x³ + 3xy + 10 + 31x³ +xy - 12 + 98 xy - 3x³
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12
NCERT Exemplar Class 7 Maths Chapter 10 Problem 56 (e)
Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial. 50x³ - 21x + 107 + 41x³ - x + 1 - 93 + 71x - 31x³
Summary:
After simplifying the expression 50x³ - 21x + 107 + 41x³ - x + 1 - 93 + 71x - 31x³ by combining the like terms we get 60x³ + 49x + 15, which is a trinomial
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