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Popular >

factor w^2-18w+81

Solution

factor

w^{2} - 18 w + 81

Solution

(w - 9)^{2}

Solution steps

w^{2} - 18 w + 81

Rewrite in the form of

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

81 = 9^{2}

- 18 w = - 2 w \cdot 9

= w^{2} - 2 w \cdot 9 + 9^{2}

Apply Perfect Square Formula:

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

w^{2} - 2 w \cdot 9 + 9^{2} = (w - 9)^{2}

= (w - 9)^{2}

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\frac{10}{8}

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(a - 2 b)^{4}

Frequently Asked Questions (FAQ)

What is factor w^2-18w+81 ?
The solution to factor w^2-18w+81 is (w-9)^2