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Factorise the following: (𝑥+1)⁢(𝑥−1) −54 - Mathematics

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Question

Factorise the following:

`(x + 1)(x - 1) - 5/4`

Sum
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Solution

Given:

`(x + 1)(x - 1) - 5/4`

We know that,

(a + b) (a – b) = a2 – b2

Hence,

`(x + 1) (x - 1) - 5/4`

 = `x^2 - 1 - 5/4`

= `(x^2 - 9/4)`

= `(x^2 - 3/4)^2`

= `(x + 3/4) (x - 3/4)`

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Chapter 4: Factorisation - EXERCISE 4B [Page 43]

APPEARS IN

B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 4 Factorisation
EXERCISE 4B | Q II. 3. | Page 43
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