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

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

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

factor

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

(6 x + 5 y)^{2}

Solution steps

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

Rewrite in the form of

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

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

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

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

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

Apply Perfect Square Formula:

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

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

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

\frac{9}{5} m + \frac{a}{10} k

j \cdot (5^{- 1} \cdot 2^{- 1}) \cdot 6^{- 1}

\frac{( x ^{3} - 2 x ^{2} + 1 )}{( x - 1 )}

6 x^{3} \cdot y^{2} + 9 x^{2} \cdot y^{3} - 3 x^{2} \cdot y^{2}

\frac{m}{n ( \frac{y}{2} + m + 6 )}

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