Simplifying Expression

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Simplification is a very useful method in mathematics. I helps reduce the given question or solution to a simpler form. Expressions consist of one or more than one variables with different coefficients and constant numbers. There are different types of expressions in math such as algebraic expressions, rational expressions etc. There are various mathematical operations which are used to simplify and solve the given expressions.

Example 1: Find the solution by simplifying the expression 3 x³/ 7 + 4 x³/ 3?

The given question is on Adding rational expressions.

This question contains adding with the same polynomial x³.

The first step of the question is to calculate the LCM of the denominators 7 and 3, is 21.

Now 3 /7 and 4 /3 can be added with the LCM of the denominators as 21.

This makes the solution 3 x³/ 7 + 4 x³/ 3 = 9 x3/ 21 + 28 x3/ 21 = 37 x3/ 21.

Hence the solution is 37 x3/ 21.
 
Example 2: Find the solution by simplifying the expression 2 x³/ 5 + 2 x³?

The given question is on Adding rational expressions.

This question contains adding with the same polynomial x³.

The first step of the question is to calculate the LCM of the denominators 5 and 1, is 5.

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

This makes the solution 2x³/5 + 2x³ = 2 x3/ 5 + 10 x3/ 5 = 12 x3/ 5.

Hence the solution is 12x3/ 5.
 

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