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equation. In the method of factoring, a constant or a variable which is common in all the given terms of the

expression or equation is pulled out as a common factor. This simplifies the given expression and hence it is

called automatic factoring.

Given algebraic expression: 2x

In the above given expression, the three terms consist numbers such as 2, 6, 10.

These three numbers are multiples of ‘2’; hence ‘2’ is a common factor for all the three terms.

Similarly, ‘x’ is a common factor for the three terms in the given expression!

Hence we get: 2x(x

Given algebraic expression: 5y

In the above given expression, the four terms consist numbers such as 5, 10, 5, 15.

These four numbers are multiples of ‘5’; hence ‘5’ is a common factor for all the four terms.

Similarly, ‘y

Hence we get: 5y