Like and Unlike Terms
Like and Unlike Terms
Like Terms:
When terms have the same algebraic factors, they are like terms or we can say like terms are terms that have the same variables and powers. The coefficients can be different so there is no need to match them.
Unlike Terms:
When terms have different algebraic factors they are unlike terms or we can say that Unlike terms are two or more terms that do not have the same variables or powers. The order of the variables does not matter unless they are different.
Factors of a term:
The expression consists of two terms
and -3xy.The term
is a product of 4, x, and x: we say that 4,x, and x are factors of the term
. A term is a product of its factors.
We can represent the terms and factors of the terms of an expression by a tree diagram.
Illustration: Find the factors of the expression using a tree diagram.
Solution: The terms and factors of the given expression are shown in the following tree diagram
Illustration: Find the factors of the expression using a tree diagram.
(i)
(iI)
Solution: The terms and factors of the given expression are shown in the following tree diagram
Illustration: In the expression 2xy-3x+5xy-4, find terms, factors and identify like and unlike terms.
Solution: In the given expression, terms are 2xy, -3x, 5xy, -4 .
The factors of 2xy are 2,x, and y.
The factors of 5xy are 5,x, and y.
Thus their algebraic factors are the same and hence they are like terms.
On the other hand the terms 2xy and -3x,
The factors of 2xy are 2, x and y
The factors of -3x are -3. x
Thus they have different algebraic factors. They are unlike terms.
Similarly, the terms,2xy and 4, are unlike terms. Also, the terms -3x and 4 are unlike terms.
Illustration: Identify the pair of like terms in the following
Solution:
are like terms because they have the same variables and power,
are like terms as the powers are same with respect to the variable even when the order of the variable is different .
are unlike terms because they have different variables. Since the coefficient doesn't affect likeness, all constant terms are like terms.
Identify the like terms in the expression 2x+3y+5z+2x+8y+6z-3x | |||
| Right Option : A | |||
| View Explanation | |||
Identify the like terms in the expression 3xy+11yz+2y+8y+3xy | |||
| Right Option : A | |||
| View Explanation | |||
Identify the like terms in the expression: 3xy+5yz+2xz+9xy-2z | |||
| Right Option : C | |||
| View Explanation | |||
Students / Parents Reviews [20]
I have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
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Hiya Gupta
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Manish Kumar
10thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
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Manish Kumar
10thAbhyas institute is one of the best coaching institute in the vicinity of Ambala cantt.The institute provides good and quality education to the students.The teachers are well experienced and are very helpful in solving the problems. The major advantages of the institute is extra classes for weak...
Shreya Shrivastava
8thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
Aman Kumar Shrivastava
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Prisha Gupta
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Aman Kumar Shrivastava
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Barkha Arora
10thThird consective year,my ward is in Abhyas with nice experience of admin and transport support.Educational standard of the institute recumbent at satisfactory level. One thing would live to bring in notice that last year study books was distributed after half of the session was over,though study ...
Ayan Ghosh
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Cheshta
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Eshan Arora
8thThe experience was nice. I studied here for three years and saw a tremendous change in myself. I started liking subjects like English and SST which earlier I ran from. Extra knowledge gave me confidence to overcome competitive exams. One of the best institutes for secondary education.
Aman Kumar Shrivastava
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