Question

find the Hcf and then do factorization Resolve into factors.
1.3.9a²-3a²​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Numbers have factors:



And expressions (like x2+4x+3) also have factors:



Factoring

Factoring (called "Factorising" in the UK) is the process of finding the factors:

Factoring: Finding what to multiply together to get an expression.

It is like "splitting" an expression into a multiplication of simpler expressions.

Example: factor 2y+6

Both 2y and 6 have a common factor of 2:

2y is 2 × y

6 is 2 × 3

So we can factor the whole expression into:

2y+6 = 2(y+3)

So 2y+6 has been "factored into" 2 and y+3

Factoring is also the opposite of Expanding:



Common Factor

In the previous example we saw that 2y and 6 had a common factor of 2

But to do the job properly we need the highest common factor, including any variables

Example: factor 3y2+12y

Firstly, 3 and 12 have a common factor of 3.

So we could have:

3y2+12y = 3(y2+4y)

But we can do better!

3y2 and 12y also share the variable y.

Together that makes 3y:

3y2 is 3y × y

12y is 3y × 4

 

So we can factor the whole expression into:

3y2+12y = 3y(y+4)

 

Check: 3y(y+4) = 3y × y + 3y × 4 = 3y2+12y