Simplify the Expression

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There are different types of expressions in math such as algebraic expressions, rational expressions, irrational expressions, polynomial expressions etc. Expressions consist of one or more than one unknown variables with different coefficients and constant numbers. There are various mathematical operations which are used to simplify and solve the given expressions.

Example 1: Find the solution by simplifying the expression 9 x2 / 2 + 3 x2 / 5?

The given question is on Adding expressions.

This question contains adding with the same polynomial x2.

The first step of the question is to calculate the LCM of the denominators 2 and 5, is 10.

Now 9 /2 and 3 /5 can be added with the LCM of the denominators as 10.

This makes the solution 9 x2 / 2 + 3 x2 / 5 = 45 x2 / 10 + 6 x2 / 10 = 51 x2 / 10.

Hence the solution is 51 x2 / 10.
 
Example 2: Find the solution by simplifying the expression x / 3 + x / 2?

The given question is on Adding expressions.

This question contains adding with the same polynomial x.

The first step of the question is to calculate the LCM of the denominators 3 and 2, is 6.

Now 1 / 3 and 1 /2 can be added with the LCM of the denominators as 6.

This makes the solution x / 3 + x / 2 = 2 x / 6 + 3 x / 6 = 5 x / 6.

Hence the solution is 5 x / 6.
 

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