What is factor 4x^2y^2+12xy+9 ?

The solution to factor 4x^2y^2+12xy+9 is (2xy+3)^2

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factor 4x^2y^2+12xy+9

factor

4 x^{2} y^{2} + 12 x y + 9

(2 x y + 3)^{2}

Solution steps

4 x^{2} y^{2} + 12 x y + 9

Rewrite in the form of

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

4 x^{2} y^{2} = (2 x y)^{2}

9 = 3^{2}

12 x y = 2 \cdot 2 x y \cdot 3

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

Apply Perfect Square Formula:

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

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

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

184

\frac{4}{9} z - \frac{2 z}{3} < \frac{1}{2}

\frac{11 x y ^{- 1} z ^{0}}{v ^{- 3}}

\frac{14 x ^{4} y ^{6}}{7 x ^{8} y ^{2}}

4 (- \frac{1}{4}) + 1

What is factor 4x^2y^2+12xy+9 ?
The solution to factor 4x^2y^2+12xy+9 is (2xy+3)^2