What is factor 9x^2+6xy+y^2 ?

The solution to factor 9x^2+6xy+y^2 is (3x+y)^2

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factor 9x^2+6xy+y^2

factor

9 x^{2} + 6 x y + y^{2}

(3 x + y)^{2}

Solution steps

9 x^{2} + 6 x y + y^{2}

Rewrite in the form of

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

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

6 x y = 2 \cdot 3 x y

= (3 x)^{2} + 2 \cdot 3 x y + y^{2}

Apply Perfect Square Formula:

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

(3 x)^{2} + 2 \cdot 3 x y + y^{2} = (3 x + y)^{2}

= (3 x + y)^{2}

[\frac{3}{2 \cdot x + 1}]^{3}

5 - 3 x + y + 6

(a - b)^{- 1}

(3 - 6) y (- 2.4)

3 (a^{2} - 2 a + 9)