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A2 – b2 = (a + b) ______. - Mathematics

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Question

a2 – b2 = (a + b) ______.

Fill in the Blanks

Solution 1

a2 – b2 = (a + b) (a – b).

Explanation:

We have, a2 – b2 = (a + b)(a – b)  ...[∵ a2 – b2 = (a + b)(a – b)]

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Solution 2

a2 – b2 = (a + b) (a – b).

Explanation:

Let (a2 – b2) = (a + b)x

⇒ `x = (a^2 - b^2)/(a + b)`

= `((a + b)(a - b))/(a + b)`

= a – b

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Chapter 7: Algebraic Expression, Identities and Factorisation - Exercise [Page 228]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 7 Algebraic Expression, Identities and Factorisation
Exercise | Q 38. | Page 228
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