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Popular >

factor p^2-8p+16

Solution

factor

p^{2} - 8 p + 16

Solution

(p - 4)^{2}

Solution steps

p^{2} - 8 p + 16

Rewrite in the form of

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

16 = 4^{2}

- 8 p = - 2 p \cdot 4

= p^{2} - 2 p \cdot 4 + 4^{2}

Apply Perfect Square Formula:

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

p^{2} - 2 p \cdot 4 + 4^{2} = (p - 4)^{2}

= (p - 4)^{2}

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Frequently Asked Questions (FAQ)

What is factor p^2-8p+16 ?
The solution to factor p^2-8p+16 is (p-4)^2