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Popular >

factor m^2+18m+81

Solution

factor

m^{2} + 18 m + 81

Solution

(m + 9)^{2}

Solution steps

m^{2} + 18 m + 81

Rewrite in the form of

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

81 = 9^{2}

18 m = 2 m \cdot 9

= m^{2} + 2 m \cdot 9 + 9^{2}

Apply Perfect Square Formula:

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

m^{2} + 2 m \cdot 9 + 9^{2} = (m + 9)^{2}

= (m + 9)^{2}

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Frequently Asked Questions (FAQ)

What is factor m^2+18m+81 ?
The solution to factor m^2+18m+81 is (m+9)^2