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sample factorization

1. Factorize the expression: 2x^2 + 8x
2. Find the common factors in the following expression: 12y^3 – 18y^2
3. Factorize the quadratic expression: x^2 + 5x + 6
4. Factorize the expression: 4a^2 – 9b^2

Factorization is the process of breaking down a number into its smaller parts, or factors.

Simple Illustration

Imagine you have a big chocolate bar and you want to share it with your friends. You can break the chocolate bar into smaller pieces so that each friend gets a piece. This is like factorizing the chocolate bar into its smaller parts.


For example, let’s factorize the number 12. The factors of 12 are 1, 2, 3, 4, 6, and 12. So, when we factorize 12, we can write it as 2 x 6 or 3 x 4. This means that 12 can be broken down into 2 groups of 6 or 3 groups of 4.

So, factorization is like breaking down a number into smaller parts, just like breaking a chocolate bar into smaller pieces to share with friends.