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.
State whether | |||
| Right Option : B | |||
| View Explanation | |||
Identify the like terms in the expression 2x-3xy+5yz+8yx+8y+6zy-3xy | |||
| Right Option : C | |||
| View Explanation | |||
State whether -29x , -29y are Like or Unlike Terms | |||
| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [10]
My experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
8thOne of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
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
8thI 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
Yatharthi Sharma
10thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thBeing a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
8thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
10thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
