To factorize x^2 + 10x + 16, we need to find two numbers that multiply to give 16 and add to give 10.
We can start by listing the factors of 16: 1, 2, 4, 8, 16.
Then, we need to find two numbers from this list whose sum is 10.
We can see that 2 and 8 add up to 10.
Therefore, we can rewrite the expression as:
x^2 + 10x + 16 = (x + 2)(x + 8).
This is the factored form of the expression.
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