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Popular >

factor r^2-6r+9

Solution

factor

r^{2} - 6 r + 9

Solution

(r - 3)^{2}

Solution steps

r^{2} - 6 r + 9

Rewrite in the form of

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

9 = 3^{2}

- 6 r = - 2 r \cdot 3

= r^{2} - 2 r \cdot 3 + 3^{2}

Apply Perfect Square Formula:

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

r^{2} - 2 r \cdot 3 + 3^{2} = (r - 3)^{2}

= (r - 3)^{2}

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Frequently Asked Questions (FAQ)

What is factor r^2-6r+9 ?
The solution to factor r^2-6r+9 is (r-3)^2