Find each of the following products:

(3x + 2y – 4) × (x – y + 2)

By using horizontal method,


We have;


= (3x + 2y – 4) × (x – y + 2)


= x(3x + 2y – 4) – y(3x + 2y – 4) + 2(3x + 2y – 4)


= 3x2 + 2xy – 4x – 3xy – 2y2 + 4y + 6x + 4y – 8


By arranging the expression in the form of descending powers of x,


We get;


= 3x2 – 4x + 6x + 2xy – 3xy – 2y2 + 4y + 4y – 8


= 3x2 + 2x – xy – 2y2 + 8y – 8


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