Answer:
Explanation:
To factor the expression completely: 6(x+5)² - 5(x+5) + 1, we can use a common factoring technique.
Let's first notice that the expression has a common factor of (x+5). We can factor it out:
= (x+5)(6(x+5) - 5) + 1
Next, we simplify the expression within the parentheses:
= (x+5)(6x + 30 - 5) + 1
= (x+5)(6x + 25) + 1
Therefore, the factored form of the expression 6(x+5)² - 5(x+5) + 1 is (x+5)(6x + 25) + 1.