MULTIPLICATION OF ALGEBRAIC EXPRESSION -
Multiplying algebraic expressions involves applying the distributive property and combining like terms. Here are the steps to multiply two algebraic expressions:
Here's an example to illustrate these steps:
Let's say you want to multiply (2x+3)(4x−1).
This simplifies to: 8x² − 2x + 12x − 3
So, (2x+3) (4x−1) = 8x² + 10x − 3.
Remember to always check your work to ensure you have simplified the expression as much as possible!
(i) Take note of following points for like terms:-
(a) The coefficients will get multiplied.
(b) The power of the resultant variable will be the addition of the individual powers.
Example.1):- Product of 2x and 3x will be 6x².
Example.2):- Productof 2x, 3x and 4x will be 24x³.
(i) Take note of following points for unlike terms:-
(a)The coefficients will get multiplied.
(b) If all the variables are different then there will be no change in the power of variables.
(c) If some of the variables are same then the respective power of variables will be added.