The Simplification is 10x +7(x+y)
Concept
- Simplification means to reduce an equation to a simpler form by cancellation of common factors, regrouping of terms in the same variable.
What are like terms?
- Like terms are the terms which are having same variable in the expression.
- For example : The expression is (3x+8y+2x-3x+y)
- In this expression 3x , -3x and 2x are the like terms even 8y and y are the like terms
How to solve the problem?
The problem can be solved by following steps :
- To simplify the equation 8x + 10y + 9x – 3y (given)
- We need to collect all the like terms together
(8x+9x) + (10y-3y)
= 17x + 7y
Now We can more simplify by Splitting 17x
= (10x+7x)+7y
Opening the brackets we will get
10x+7x+7y
after taking common number 7
The simplified expression will be 10x+7(x+y)
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