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Popular >

factor w^2+12w+36

Solution

factor

w^{2} + 12 w + 36

Solution

(w + 6)^{2}

Solution steps

w^{2} + 12 w + 36

Rewrite in the form of

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

36 = 6^{2}

12 w = 2 w \cdot 6

= w^{2} + 2 w \cdot 6 + 6^{2}

Apply Perfect Square Formula:

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

w^{2} + 2 w \cdot 6 + 6^{2} = (w + 6)^{2}

= (w + 6)^{2}

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Frequently Asked Questions (FAQ)

What is factor w^2+12w+36 ?
The solution to factor w^2+12w+36 is (w+6)^2