x^2-xz+xy-yz=?
a. (x-y)(x+z)
b. (x-y)(x-z)
c. (x+y)(x-z)
d. (x-y)(z-x)
By taking x and y as the common factor we get, x2 –xz + xy –yz = x(x-z) + y(x-z)
= (x-z) (x+y)
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