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

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

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factor (2x-y)^2-10(2x-y)+25

factor

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

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

Solution steps

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

Rewrite

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

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

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

Apply Perfect Square Formula:

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

a = (2 x - y), b = 5

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

Refine

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

x^{2} + 2^{2}

3 m x - 2 n x + 3 m y - 2 n y

(a + b)^{3} - b^{3}

\frac{1}{3} x^{2} - 3 x + 5

e (- 2)

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