What is factor p^2-22p+121 ?

The solution to factor p^2-22p+121 is (p-11)^2

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factor p^2-22p+121

factor

p^{2} - 22 p + 121

(p - 11)^{2}

Solution steps

p^{2} - 22 p + 121

Rewrite in the form of

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

121 = 1 1^{2}

- 22 p = - 2 p \cdot 11

= p^{2} - 2 p \cdot 11 + 1 1^{2}

Apply Perfect Square Formula:

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

p^{2} - 2 p \cdot 11 + 1 1^{2} = (p - 11)^{2}

= (p - 11)^{2}

(2 r^{2} - 5) (3 r)

(2 - x^{3})^{2}

- 6 x^{- 3}

4200