If a − 1 a = 10 ; Find a 2 − 1 a 2 - Mathematics

If `"a" - 1/"a" = 10`; find `"a"^2 - 1/"a"^2`

Sum

`"a"^2 - 1/"a"^2`

= `("a" + 1/"a") ("a" - 1/"a")`

= `(±2sqrt(26)) (10)`
= ±20`sqrt(26)`.

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Chapter 4: Expansions - Exercise 4.1

Chapter 4 Expansions
Exercise 4.1 | Q 10.2

Factorise the following using appropriate identity:

`x^2 - y^2/100`

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`(2x^4 - 4x^2 + 1)(2x^4 - 4x^2 - 1)`

Write in the expanded form: (ab + bc + ca)²

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\[2x + \frac{3}{x}\]

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(i) `a - 1/a (ii) a^2 - 1/a^2`

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(2x + y)(4x² - 2xy + y²)

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