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 y + 11)^{2} = 18

(x + 3) (x - 1) = 5

(1 + \frac{2 i}{n})^{2}

lo g_{a} (18) \cdot lo g_{3} (a)

(x - 2) (x + 5) < 0

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