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Popular >

factor w^2-8w+16

Solution

factor

w^{2} - 8 w + 16

Solution

(w - 4)^{2}

Solution steps

w^{2} - 8 w + 16

Rewrite in the form of

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

16 = 4^{2}

- 8 w = - 2 w \cdot 4

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

Apply Perfect Square Formula:

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

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

= (w - 4)^{2}

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Frequently Asked Questions (FAQ)

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