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Popular >

factor m^2+6m+9

Solution

factor

m^{2} + 6 m + 9

Solution

(m + 3)^{2}

Solution steps

m^{2} + 6 m + 9

Rewrite in the form of

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

9 = 3^{2}

6 m = 2 m \cdot 3

= m^{2} + 2 m \cdot 3 + 3^{2}

Apply Perfect Square Formula:

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

m^{2} + 2 m \cdot 3 + 3^{2} = (m + 3)^{2}

= (m + 3)^{2}

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Frequently Asked Questions (FAQ)

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