Factories r^2 + y^2 + 2xy +2y +2x +1.
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Step-by-step explanation:
QUESTION:x^2–2x-y^2+2y
1.Slightly arranging it
x^2-y^2–2x+2y
2.Adding yx and subtracting it
x^2-y^2–2x+2y+yx-yx
3.Rearranging the equation
x^2+yx-2x-yx-y^2+2y
4.Taking x and y, as they are common
x(x+y-2)-y(x+y-2)
(x-y)(x+y-2)
For clarification
2.Adding yx and subtracting it
In this step yx is added, because the equation cannot be factorised as there are no common elements and hence yx is added so that it can be factorised.
For eg.
10= 10 +3–3
Here 3 is added and then subtracted but 10 is stable and the total value of it is 10
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