What is factor x^2-10xy+25y^2 ?

The solution to factor x^2-10xy+25y^2 is (x-5y)^2

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factor x^2-10xy+25y^2

factor

x^{2} - 10 x y + 25 y^{2}

(x - 5 y)^{2}

Solution steps

x^{2} - 10 x y + 25 y^{2}

Rewrite in the form of

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

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

- 10 x y = - 2 x \cdot 5 y

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

Apply Perfect Square Formula:

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

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

= (x - 5 y)^{2}

a^{2} - 6 ab + 8 b^{2}

(\frac{1}{8})^{2}

- 24 + x = 3 x + 8

25 w^{2} + 10 w + 1

\frac{a + 2}{2} - \frac{a - 4}{4}

What is factor x^2-10xy+25y^2 ?
The solution to factor x^2-10xy+25y^2 is (x-5y)^2