a4 - 625 = (a2)2 - (25)2 = (a2 + 25) (a2 - 25) ....[a2 - b2 = (a + b)(a - b)] = (a2 + 25) {(a)2 - (5)2} = (a2 + 25) (a + 5)(a - 5)

Factorise: A4 - 625 - Mathematics

Sum

Factorise: a⁴ - 625

a⁴ - 625

= (a²)² - (25)²

= (a² + 25) (a² - 25) ....[a² - b² = (a + b)(a - b)]

= (a² + 25) {(a)² - (5)²}

= (a² + 25) (a + 5)(a - 5)

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Chapter 13: Factorisation - Exercise 13 (F) [Page 163]

Chapter 13 Factorisation
Exercise 13 (F) | Q 8.4 | Page 163

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