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Popular >

factor a^2+16a+64

Solution

factor

a^{2} + 16 a + 64

Solution

(a + 8)^{2}

Solution steps

a^{2} + 16 a + 64

Rewrite in the form of

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

64 = 8^{2}

16 a = 2 a \cdot 8

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

Apply Perfect Square Formula:

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

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

= (a + 8)^{2}

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Frequently Asked Questions (FAQ)

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