Factorise the following:
x9 + y9
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x9 + y9 = (x3)3 + (y3)3
We know that,
a3 + b3 = (a + b)(a2 - ab + b2)
(x3)3 + (y3)3 = (x3 + y3)[(x3)2 - x3y3 + (y3)2]
= (x3 + y3)(x6 - x3y3 + y6)
= (x + y)(x2 - xy + y2)(x6 - x3y3 + y6)
Hence, x9 + y9 = (x + y)(x2 - xy + y2)(x6 - x3y3 + y6).
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250(a - b)3 + 2
32a2x3 - 8b2x3 - 4a2y3 + b2y3.
x6 - 7x3 - 8
Factorisation of 12a2b + 15ab2 is
3a(4ab + 5b2)
3b(4a2 + 5ab)
3ab(4a + 5b)
none of these