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Popular >

factor r^2-16r+64

Solution

factor

r^{2} - 16 r + 64

Solution

(r - 8)^{2}

Solution steps

r^{2} - 16 r + 64

Rewrite in the form of

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

64 = 8^{2}

- 16 r = - 2 r \cdot 8

= r^{2} - 2 r \cdot 8 + 8^{2}

Apply Perfect Square Formula:

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

r^{2} - 2 r \cdot 8 + 8^{2} = (r - 8)^{2}

= (r - 8)^{2}

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Frequently Asked Questions (FAQ)

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