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

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

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

factor

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

(3 x - 5 y)^{2}

Solution steps

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

Rewrite in the form of

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

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

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

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

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

Apply Perfect Square Formula:

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

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

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

2 a^{2} - 5^{2}

x^{3} - x^{2} - 5 x - 3

4 (a + 1) = 2 (a + 8)

3 t^{2} + 16 t - 12

∣ - 2 n + 6 ∣ = 6

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