Question
Factorise:
x4 - 625
x4 - 625
✓
Answer
x4 - 625
= (x2)2 - (25)2
= (x2 + 25)(x2 - 25)
= (x2 + 25)(x2 - 52) $\Big[\therefore\ \text{a}^2-\text{b}^2=(\text{a}-\text{b})(\text{a}+\text{b})\Big]$
= (x2 + 25)(x + 5)(x - 5)
= (x2)2 - (25)2
= (x2 + 25)(x2 - 25)
= (x2 + 25)(x2 - 52) $\Big[\therefore\ \text{a}^2-\text{b}^2=(\text{a}-\text{b})(\text{a}+\text{b})\Big]$
= (x2 + 25)(x + 5)(x - 5)
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