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18 votes
Factorise completely

qn: 12axy + 8bxy + 4xy

User Bello
by
3.6k points

2 Answers

14 votes

Answer:

4xy(3a+2b+1)

Explanation:

1) Find the Greatest Common Factor (GCF).

1 - What is the largest number that divides evenly into 12axy, 8bxy and 4xy?

It is 4.

2 - What is the highest degree of
a that divides evenly into 12axy, 8bxy and 4xy?

It is 1, since a is not in every term.

3 - What is the highest degree of
x that divides evenly into 12axy, 8bxy and 4xy?

It is x.

4 - What is the highest degree of
y that divides evenly into 12axy, 8bxy and 4xy?

It is y.

5 - What is the highest degree of
b that divides evenly into 12axy, 8bxy and 4xy?

It is 1, since
b is not in every term.

6 - Multiplying the results above,

GCF = 4xy

2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)


4xy((12axy)/(4xy) +(8bxy)/(4xy) +(4xy)/(4xy) )

3) Simplify each term in parentheses.


4xy(3a+2b+1)

User Ajith Gopi
by
3.0k points
8 votes

Answer:

Explanation:

Factorise completely qn: 12axy + 8bxy + 4xy-example-1
User Cwharris
by
4.0k points