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The factorized expression of x² + 10x + 25 is (x + 5)(x + 5)

How to factor this polynomial expression?

The polynomial expression is given as:

x² + 10x + 25

Express 10x as 5x + 5x

x² + 10x + 25 = x² + 5x + 5x + 25

Factorize the terms

x² + 10x + 25 = x(x + 5) + 5(x + 5)

Factor out x + 5

x² + 10x + 25 = (x + 5)(x + 5)

Hence, the factorized expression of x² + 10x + 25 is (x + 5)(x + 5)

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