Factor the trinomial square x2−10x+25.
Therefore, the trinomial x2−10x+25 can be factored into (x−5)2.
Step 1 :First identify if the trinomial is a perfect square trinomial. A perfect square trinomial is in the form a2−2ab+b2, and can be factored into (a−b)2.
Step 2 :In the given trinomial x2−10x+25, a=x, b=5, because (x)2=x2, 2∗x∗5=10x, and (5)2=25.
Step 3 :Therefore, the trinomial x2−10x+25 can be factored into (x−5)2.