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
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