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Popular >

factor w^2+14w+49

Solution

factor

w^{2} + 14 w + 49

Solution

(w + 7)^{2}

Solution steps

w^{2} + 14 w + 49

Rewrite in the form of

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

49 = 7^{2}

14 w = 2 w \cdot 7

= w^{2} + 2 w \cdot 7 + 7^{2}

Apply Perfect Square Formula:

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

w^{2} + 2 w \cdot 7 + 7^{2} = (w + 7)^{2}

= (w + 7)^{2}

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Frequently Asked Questions (FAQ)

What is factor w^2+14w+49 ?
The solution to factor w^2+14w+49 is (w+7)^2