The Adjacent Sides of a Rectangle Are X2 – 4xy + 7y2 and X3 – 5xy2. Find Its Area. - Mathematics

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Sum

The adjacent sides of a rectangle are x2 – 4xy + 7y2 and x3 – 5xy2. Find its area.

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Solution

Reqd. area = (x2 – 4xy + 7y2) (x3 – 5xy2)

= x2 (x3 –  5xy2) – 4xy (x3 –  5xy2) + 7y2 (x3 –  5xy2)

= x5 – 5x3y2 – 4x4y + 20x2y3 + 7x3y2 – 35xy4

= x5 + 2x3y2 –  4x4y + 20x2y3 – 35xy4

= (x5 –  4x4y + 2x3y2 + 20x2y3 – 35xy4) sq. unit.

Concept: Multiplying a Polynomial by a Polynomial
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Chapter 11: Algebraic Expressions - Exercise 11 (C) [Page 143]

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Selina Concise Mathematics Class 8 ICSE
Chapter 11 Algebraic Expressions
Exercise 11 (C) | Q 4 | Page 143
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