What is factor (x-y)^2+2(x-y)+1 ?

The solution to factor (x-y)^2+2(x-y)+1 is (x-y+1)^2

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factor (x-y)^2+2(x-y)+1

factor

(x - y)^{2} + 2 (x - y) + 1

(x - y + 1)^{2}

Solution steps

(x - y)^{2} + 2 (x - y) + 1

Rewrite

(x - y)^{2} + 2 (x - y) + 1

(x - y)^{2} + 2 (x - y) \cdot 1 + 1^{2}

= (x - y)^{2} + 2 (x - y) \cdot 1 + 1^{2}

Apply Perfect Square Formula:

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

a = (x - y), b = 1

= ((x - y) + 1)^{2}

Refine

= (x + 1 - y)^{2}

h^{2} - 3 hk - 6 hm + 18 km

13.3

d (- 2.5)

5 x^{2} + 8 + 3

(x^{2} - 3 x) + 2

What is factor (x-y)^2+2(x-y)+1 ?
The solution to factor (x-y)^2+2(x-y)+1 is (x-y+1)^2