Factorise:
`9n -12n^(2)`

Answer

To factorise the expression \( 9n - 12n^2 \), we can follow these steps:

### Step 1: Identify the common factors
Look for the greatest common factor (GCF) of the coefficients and the variables in the terms.

- The coefficients are 9 and -12. The GCF of 9 and 12 is 3.
- The variable part is \( n \) and \( n^2 \). The common factor is \( n \).

### Step 2: Factor out the GCF
Now, we can factor out the GCF, which is \( 3n \).

\[ 9n - 12n^2 = 3n(3 - 4n) \]

### Step 3: Write the final factored form
The expression \( 9n - 12n^2 \) can be written as:

\[ 3n(3 - 4n) \]

### Final Answer
Thus, the factored form of \( 9n - 12n^2 \) is:

\[ 3n(3 - 4n) \]

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