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Popular >

factor w^2+16w+64

Solution

factor

w^{2} + 16 w + 64

Solution

(w + 8)^{2}

Solution steps

w^{2} + 16 w + 64

Rewrite in the form of

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

64 = 8^{2}

16 w = 2 w \cdot 8

= w^{2} + 2 w \cdot 8 + 8^{2}

Apply Perfect Square Formula:

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

w^{2} + 2 w \cdot 8 + 8^{2} = (w + 8)^{2}

= (w + 8)^{2}

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Frequently Asked Questions (FAQ)

What is factor w^2+16w+64 ?
The solution to factor w^2+16w+64 is (w+8)^2