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प्रश्न
Factorise.
x4 − (y + z)4
बेरीज
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उत्तर
x4 − (y + z)4
= (x2)2 − [(y + z)2]2
Using the identity a2 − b2 = (a − b) (a + b)
= [x2 − (y + z)2] [x2 + (y + z)2]
Again, using a2 − b2 = (a − b) (a + b)
= [x − (y + z)] [x + (y + z)] [x2 + (y + z)2]
= (x − y + z) (x + y + z) [x2 + (y + z)2]
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पाठ 12: Factorisation - EXERCISE 12.2 [पृष्ठ १५२]
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