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x\left(-x+k\right)+y\left(-x+k\right)
Do the grouping xk-xy-x^{2}+yk=\left(-x^{2}+xk\right)+\left(-xy+yk\right), and factor out x in the first and y in the second group.
\left(-x+k\right)\left(x+y\right)
Factor out common term -x+k by using distributive property.