What is factor 25x^2+30xy+9y^2 ?

The solution to factor 25x^2+30xy+9y^2 is (5x+3y)^2

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factor 25x^2+30xy+9y^2

factor

25 x^{2} + 30 x y + 9 y^{2}

(5 x + 3 y)^{2}

Solution steps

25 x^{2} + 30 x y + 9 y^{2}

Rewrite in the form of

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

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

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

30 x y = 2 \cdot 5 x \cdot 3 y

= (5 x)^{2} + 2 \cdot 5 x \cdot 3 y + (3 y)^{2}

Apply Perfect Square Formula:

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

(5 x)^{2} + 2 \cdot 5 x \cdot 3 y + (3 y)^{2} = (5 x + 3 y)^{2}

= (5 x + 3 y)^{2}

2 b^{2} + 9 b + 9

0.6 n \geq 12 - 0.4 n

- 13 + n + 5 + 6 = 5 + 4 n - 4

3 (4 x - 1) - 2 (5 x - 3) = 11 - 2 x

What is factor 25x^2+30xy+9y^2 ?
The solution to factor 25x^2+30xy+9y^2 is (5x+3y)^2