Question

x² –xz + xy –yz =?

(i) (x-y)(x+z)

(ii) (x-y)(x-z)

(iii) (x+y)(x-z)

(iv) (x-y)(z-x)

Answer 1

(iii) (x+y)(x-z)

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)