Problem

Factor the trinomial square \(x^2 - 10x + 25\).

Answer

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Answer

Therefore, the trinomial \(x^2 - 10x + 25\) can be factored into \((x - 5)^2\).

Steps

Step 1 ：First identify if the trinomial is a perfect square trinomial. A perfect square trinomial is in the form \(a^2 - 2ab + b^2\), and can be factored into \((a - b)^2\).

Step 2 ：In the given trinomial \(x^2 - 10x + 25\), \(a = x\), \(b = 5\), because \((x)^2 = x^2\), \(2*x*5 = 10x\), and \((5)^2 = 25\).

Step 3 ：Therefore, the trinomial \(x^2 - 10x + 25\) can be factored into \((x - 5)^2\).

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