Problem

Factor the trinomial square x210x+25.

Answer

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Answer

Therefore, the trinomial x210x+25 can be factored into (x5)2.

Steps

Step 1 :First identify if the trinomial is a perfect square trinomial. A perfect square trinomial is in the form a22ab+b2, and can be factored into (ab)2.

Step 2 :In the given trinomial x210x+25, a=x, b=5, because (x)2=x2, 2x5=10x, and (5)2=25.

Step 3 :Therefore, the trinomial x210x+25 can be factored into (x5)2.

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