What is factor 25x^2y^2+60xy+36 ?

The solution to factor 25x^2y^2+60xy+36 is (5xy+6)^2

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factor 25x^2y^2+60xy+36

factor

25 x^{2} y^{2} + 60 x y + 36

(5 x y + 6)^{2}

Solution steps

25 x^{2} y^{2} + 60 x y + 36

Rewrite in the form of

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

25 x^{2} y^{2} = (5 x y)^{2}

36 = 6^{2}

60 x y = 2 \cdot 5 x y \cdot 6

= (5 x y)^{2} + 2 \cdot 5 x y \cdot 6 + 6^{2}

Apply Perfect Square Formula:

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

(5 x y)^{2} + 2 \cdot 5 x y \cdot 6 + 6^{2} = (5 x y + 6)^{2}

= (5 x y + 6)^{2}

\frac{( 2 - 3 i ) ^{2} - ( 2 + 3 i ) ( 3 - 2 i )}{3 i ^{17} - 1} - \frac{4}{5 i ^{- 25}}

\frac{14}{15} - \frac{1}{6}

(2 x)^{0}

2 - \frac{3}{2}

∣ x - 7 ∣ > 1

What is factor 25x^2y^2+60xy+36 ?
The solution to factor 25x^2y^2+60xy+36 is (5xy+6)^2