How To Factor A Perfect Square Trinomial: Explained With X²-10X+25

x²-10x+25

(x-5)²

x²-10x+25 is a quadratic expression. It can also be written as (x-5)² since -5 is the root of this expression.

Here’s a breakdown of how the expression was factored:

We look for two numbers that multiply to 25 and add up to -10. These numbers are -5 and -5.

We then place each factor inside a set of parentheses: (x-5)(x-5)

We can simplify the expression by multiplying the two terms together: (x-5)²

Therefore, x²-10x+25 can be written as (x-5)². This is called a perfect square trinomial because both the first and last term are square numbers, and the middle term is twice the product of the square roots of the first and last terms.

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