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

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

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

factor

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

(5 x + 6 y)^{2}

Solution steps

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

Rewrite in the form of

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

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

36 y^{2} = (6 y)^{2}

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

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

Apply Perfect Square Formula:

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

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

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

- 2 + \frac{10}{3}

\frac{8}{9} + \frac{2}{3}

\frac{2}{3} - \frac{1}{6} \div \frac{2}{5}

x^{- 2} x^{2}

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