Multiplication of Monomials
Multiplication of Algebraic Expressions
When we have two algebraic expressions which are to be multiplied, then we follow the common rule taking one term of one expression and multiplying it with all the terms of the other expression.
The result so obtained is called the product of the two expressions. These two expressions are called the factors or multiplicant. The multiplicant in a multiplication operation maybe two monomial, one monomial, and one binomial, two binomials of two polynomials.
Multiplication of Two Monomials: The multiplication of two monomial, say, 3ab and 5b. We shall perform the multiplication of these two monomial by the repeated use of commutativity and associativity of multiplication. In the multiplication of algebraic expression, We will follow two simple rules.
(i) The product of two factors with like signs is positive, and the product of two factors with unlike signs is negative.
(ii) if x is a variable and m, n are positive integers, then
Thus,
Rule For Multiplication of Two Monomial:
Product of two monomial = (product of their numerical coefficients) × (product of their variable parts)
Illustration: Find the product of 4 and 7x
Solution :
Illustration: Find the product of 4 and (3x + 4y).
Solution :
Rewrite each of these expressions in its simplest form : | |||
| Right Option : B | |||
| View Explanation | |||
Find the product of the | |||
| Right Option : C | |||
| View Explanation | |||
Simplify: | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [10]
My 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 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
10thIt 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.
Eshan Arora
8thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thOne 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
10thA 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
7thAbhyas 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
10thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Shivam Rana
7thBeing 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.
