Factorise:
`6a (a -2b ) + 5b (a - 2b )`

Answer

To factorise the expression \(6a(a - 2b) + 5b(a - 2b)\), we can follow these steps:

### Step 1: Identify the common factor
In the given expression, both terms \(6a(a - 2b)\) and \(5b(a - 2b)\) share a common factor, which is \((a - 2b)\).

### Step 2: Factor out the common factor
We can factor out \((a - 2b)\) from both terms:
\[ 6a(a - 2b) + 5b(a - 2b) = (a - 2b)(6a + 5b) \]

### Step 3: Write the final factored form
Thus, the expression can be written as:
\[ (a - 2b)(6a + 5b) \]

### Final Answer:
The factored form of \(6a(a - 2b) + 5b(a - 2b)\) is:
\[ (a - 2b)(6a + 5b) \]

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