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Maharashtra State BoardSSC (English Medium) 7th Standard

Factorise the following expression. y2 − 4 - Mathematics

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Question

Factorise the following expression.

y2 − 4

Sum
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Solution

y2 − 4

Let us identify a and b as the difference of squares.

a = y2

b = 22 = 4 

= (y)2 − (2)2

a2 − b2 = (a + b) (a − b)

(y)2 − (2)2 = (y + 2) (y − 2)

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Chapter 14: Algebraic Formulae - Expansion of Squares - Practice Set 53 [Page 94]

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Balbharati Mathematics [English] Standard 7 Maharashtra State Board
Chapter 14 Algebraic Formulae - Expansion of Squares
Practice Set 53 | Q 1.03 | Page 94
Balbharati Mathematics Integrated [English] Standard 7 Maharashtra State Board
Chapter 14 Algebraic Formulae-Expansion of Squares
Practice Set 53 | Q 1. (iii) | Page 44
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