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Factorize: (i) a⁴-b⁴ (ii) p⁴-81

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NCERT Solutions for Class 8 Mathematics Chapter 14
Important NCERT Questions
Factorization Chapter 8 Exercise 14.2
NCERT Books for Session 2022-2023
CBSE Board
Questions No: 4

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1 Answer

  1. (i) a⁴-b⁴ = (a²)²-(b²)²
    = (a²-b²)(a²+b²) [∵ a²-b²-(a-b)(a+b)]
    = (a-b)(a+b)(a²+b²) [∵ a²-b²-(a-b)(a+b)]
    (ii) p⁴-81=(p²)²-(9²)²
    = (9²-9)(9²+9) [∵ a²-b²-(a-b)(a+b)]
    = (p²-3²)(p²+9)
    = (p-3)(p+3)(p²+9) [∵ a²-b²-(a-b)(a+b)]

    Class 8 Maths Chapter 11 Exercise 14.2 Solution in Video

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-14/

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