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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 7

Expand the following square, using suitable identities (xyz – 1)2 - Mathematics

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Question

Expand the following square, using suitable identities

(xyz – 1)2

Sum
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Solution

(xyz – 1)2

Comparing (xyz – 1)2 with (a – b)2 we have a = xyz and b = 1

(a – b)2 = a2 – 2ab + b2

(xyz – 1)2 = (xyz)2 – 2(xyz)(1) + 12

(xyz – 1)2 = x2y2z2 – 2xyz + 1

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Chapter 3: Algebra - Exercise 3.1 [Page 62]

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Samacheer Kalvi Mathematics - Term 3 [English] Class 7 TN Board
Chapter 3 Algebra
Exercise 3.1 | Q 5. (iv) | Page 62
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