Practice of factorization by a common term

In mathematics factorization by the common term is also known as factorization using common factors or factorization by taking common. We learn some examples of the practice of factorization by a common term.

What are the important steps for learning factorization by common terms?

Some important steps for learning factorization by common term are as follows:

Step 1: Determine which is a common variable or number or even both in the given equation

Step 2: Take that common variable or number or both from that equation.

Step 3: After taking the common, write the remaining variables and numbers in the bracket.

A simple example of factorization by common term:

Here is a simple example of factorization by common term and we learn examples of factorization by common term step by step.

• 16𝑥²-24y+48

Step 1 of factorization by common term: In 6𝑥²-24y+48 look at the common term, and the common term in the equation is “8” because 8 is divisible by 16, 24, and 48. So, 8 will be the common term.

Step 2 of factorization by common term: we will take the common factor i.e., “8” outside of the bracket.

→8 (2𝑥²-3y+6) 

Step 3 of factorization by common term: Now the remaining variable along with their co-efficient will be in the bracket as written above.  

A real-life example for understanding factorization by a common term:

We will tell you the best real-life example for understanding factorization by a common term. Take any objects from your belongings and try to find out what is common among them. Like, take black color, black bag or black Jeans. Now you find what is common among them. In this way, you can learn factorization by common terms from daily life examples.

10 examples of factorization by common terms for practice:

Here are 10 examples of factorization by common terms for practice. You can practice them and learn factorization by common factors in the best way.

1. 16𝑥²-24y+48

2. 7𝑥²-14 𝑥 y+21

3. 8𝑥²-16y+64 𝑥

4. 9𝑥²-17 𝑥y+4𝑥

5. 20𝑥²-15𝑥y+25𝑥

6. 6𝑥²-18 y+24

7. 9𝑥³-17𝑥⁴y+4𝑥⁵

8. 22𝑥³-121𝑥⁴y+44𝑥⁵

9. 22𝑥y²-21𝑥y+4y

10. 2𝑥y²-8𝑥y+14y