# Factorize Each of the Following Expression: a 4 − 1 B 4 - Mathematics

Sum

Factorize each of the following expression:

$a^4 - \frac{1}{b^4}$

#### Solution

$a^4 - \frac{1}{b^4}$
= (a2)- 1/(b2)2
= a2- 1/b2a2 + 1/b2
= a - 1/ba + 1/ba2 + 1/b2

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 7 Factorization
Exercise 7.5 | Q 15 | Page 17