What is factor x^2-100x+2500 ?

The solution to factor x^2-100x+2500 is (x-50)^2

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factor x^2-100x+2500

factor

x^{2} - 100 x + 2500

(x - 50)^{2}

Solution steps

x^{2} - 100 x + 2500

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

2500 = 5 0^{2}

- 100 x = - 2 x \cdot 50

= x^{2} - 2 x \cdot 50 + 5 0^{2}

Apply Perfect Square Formula:

a^{2} - 2 ab + b^{2} = (a - b)^{2}

x^{2} - 2 x \cdot 50 + 5 0^{2} = (x - 50)^{2}

= (x - 50)^{2}

480

- 24 \times - 42

5 i^{61}

(x^{2} + A x + B)^{2}