Question

The adjacent sides of a rectangle are (x²-4xy+7y²) and( x³-5xy–5xy² ), find its area.​

Answer 1

Answer:

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= (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