The adjacent sides of rectangles are (x^2-4xy+7y^2) and x^3-5xy^2.Find its area.
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Reqd. area = (x2 – 4xy + 7y2) (x3 – 5xy2)
= x2(x3 – 5xy2) – 4xy (x3 – 5xy2) + 7y2 (x3 – 5xy2)
= x5 – 5x3y2 – 4x4y + 20x2y3 + 7x3y2 – 35xy4
= x5 + (7 – 5)x3y2 – 4x4y + 20x2y3 – 35xy4
= x5 + 2x3y2 – 4x4y + 20x2y3 – 35xy4
= (x5 – 4x4y + 2x3y2 + 20x2y3 – 35xy4) sq. unit.
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