What Does Simplest Form Mean

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Simplest form of a number or an expression is to simplify it to write it in its basic form. For instance, the simplest form of a fraction is to simplify the fraction and write the fraction in its simplest or lowest form by dividing the numerator and the denominator by their common factor. Similarly simplest form of an expression is to simplify the given expression by factoring or by other methods. Therefore simplest form means simplifying a particular mathematical expression by using the appropriate methods.
 
Example 1: Write the given expression x – 5 + 6x – 4 in its simplest form.
Given expression: x – 5 + 6x – 4
In order to write the above expression in its simplest form, we should simplify the expression by combining the like terms together.
 ‘x’ and ‘6x’ are like terms and ‘-5’ and ‘-4’ are like terms so combine them together.
This implies: x – 5 + 6x – 4 ==> x + 6x – 5 – 4 = 7x – 9

Therefore the simplest form of the given expression is 7x – 9.
 
 
Example 2: Write the given expression, 6 – 10x – 5 + 2x in its simplest form.
Given expression: 6 – 10x – 5 + 2x
In order to write the above expression in its simplest form, we should simplify the expression by combining the like terms together.
 ‘6’ and ‘-5’ are like terms and ‘-10x’ and ‘2x’ are like terms, so combine them together.
This implies: 6 – 10x – 5 + 2x ==> 6 – 5 – 10x + 2x = 1 – 8x

Therefore the simplest form of the given expression is 1 – 8x.

 
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