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

Factorize each of the following expression:

\[a^4 - \frac{1}{b^4}\]

Sum

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

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Chapter 7: Factorization - Exercise 7.5 [Page 17]

Chapter 7 Factorization
Exercise 7.5 | Q 15 | Page 17

Factorize each of the following expression:
16x² − 25y²

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27x² − 12y²

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x⁸ − 1

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36l² − (m + n)²

Factorize each of the following expression:
a⁴b⁴− 16c⁴

Factorize each of the following expression:
(2x + 1)² − 9x⁴

Factorize each of the following expression:
x⁴ − (2y − 3z)²

Factorize each of the following expression:
16a⁴ − b⁴

Factorize each of the following quadratic polynomials by using the method of completing the square:
q2 − 10q + 21

Factorize each of the following quadratic polynomials by using the method of completing the square:
p² + 6p − 16