What is factor 9a^2+6ab+b^2 ?

The solution to factor 9a^2+6ab+b^2 is (3a+b)^2

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factor 9a^2+6ab+b^2

factor

9 a^{2} + 6 ab + b^{2}

(3 a + b)^{2}

Solution steps

9 a^{2} + 6 ab + b^{2}

Rewrite in the form of

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

9 a^{2} = (3 a)^{2}

6 ab = 2 \cdot 3 ab

= (3 a)^{2} + 2 \cdot 3 ab + b^{2}

Apply Perfect Square Formula:

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

(3 a)^{2} + 2 \cdot 3 ab + b^{2} = (3 a + b)^{2}

= (3 a + b)^{2}

a^{6} + 125 b^{12}

6^{- x}

- (x - 2)^{2} + 4

e^{0} + e^{- 0}

\frac{6}{72}