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Popular >

factor w^2-6w+9

Solution

factor

w^{2} - 6 w + 9

Solution

(w - 3)^{2}

Solution steps

w^{2} - 6 w + 9

Rewrite in the form of

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

9 = 3^{2}

- 6 w = - 2 w \cdot 3

= w^{2} - 2 w \cdot 3 + 3^{2}

Apply Perfect Square Formula:

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

w^{2} - 2 w \cdot 3 + 3^{2} = (w - 3)^{2}

= (w - 3)^{2}

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Frequently Asked Questions (FAQ)

What is factor w^2-6w+9 ?
The solution to factor w^2-6w+9 is (w-3)^2