Q22 of 274 Page 64

Factorize:

x4 – 1

We have:



We can also write this as:


=(x2)2 - 12


Using identity: a2 - b2 = (a – b)(a + b)


=(x2 + 1)(x2 – 1)


Again,


Using identity: a2 - b2 = (a – b)(a + b)


=(x2 + 1)(x + 1)(x – 1)


More from this chapter

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20

Factorize:

x2 – y2 + 6y – 9

 21

Factorize:

4x2 – 9y2 – 2x – 3y

 23

Factorize:

a – b – a2 + b2

 24

Factorize:

x4 – 625