Factorise:
`(x +5) ^(2) -4 ( x + 5)`

Answer

To factorise the expression \( (x + 5)^2 - 4(x + 5) \), we can follow these steps:

### Step 1: Identify the common factor
We notice that both terms in the expression share a common factor of \( (x + 5) \).

### Step 2: Rewrite the expression
We can rewrite the expression by factoring out \( (x + 5) \):
\[ (x + 5)^2 - 4(x + 5) = (x + 5) \left( (x + 5) - 4 \right) \]

### Step 3: Simplify the expression inside the parentheses
Now, we simplify the expression inside the parentheses:
\[ (x + 5) - 4 = x + 5 - 4 = x + 1 \]

### Step 4: Write the final factored form
Now we can write the complete factored form:
\[ (x + 5)(x + 1) \]

Thus, the factorised form of the expression \( (x + 5)^2 - 4(x + 5) \) is:
\[ \boxed{(x + 5)(x + 1)} \]

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