Factor.
\[
w^{2}-10 w+25
\]

Answer

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Answer

\(\boxed{(w - 5)^{2}}\) is the final answer.

Steps

Step 1 ：This is a quadratic equation in the form of \(ax^2 + bx + c\).

Step 2 ：The equation can be factored if it is a perfect square trinomial. A perfect square trinomial is in the form of \(a^2 + 2ab + b^2\) or \((a+b)^2\).

Step 3 ：In this case, \(a = w\), \(b = 5\), and \(c = 25\).

Step 4 ：If \(b^2 = c\), then the equation is a perfect square trinomial and can be factored as \((a+b)^2\).

Step 5 ：The factored form of the equation \(w^{2}-10 w+25\) is \((w - 5)^{2}\).

Step 6 ：\(\boxed{(w - 5)^{2}}\) is the final answer.

Factor.\[w^{2}-10 w+25\]

Answer

Popular Problems

Factor.
\[
w^{2}-10 w+25
\]