Question

4. The adjacent sides of a rectangle are
x2 - 4xy + 7y2 and x3 - 5xy2?. Find its area.
With full explanation​

Answer 1

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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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Answer 2

Answer:

area of rectangle = l×b

l= x2-4xy+7y2

b=x3-5xy2

x2-4xy+7y2 × x3-5xy2

x5-4x4y+ 7x3y2- 5x3y2+ 20x2y3-35xy4

= x5- 4x4y+ 2x3y2+ 20x2y3- 35xy4

Step-by-step explanation:

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