Factorise :
7a5 - 567a
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= 7a(a4 - 81)
= 7a((a2)4 - (9)4)
Using the formula
[∵ (x2 - y2) = (x + y)(x - y)]
= 7a(a2 - 9)(a2 + 9)
= 7a((a)2 - (3)2)(a2 + 9)
= 7a(a - 3)(a + 3)(a2 + 9)
Hence, 7a5 - 567a = 7a(a - 3)(a + 3)(a2 + 9)
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x2 - 2xy + y2 - z2
x2 - y2 - 2yz - z2
Factorise xy2 - xz2, Hence, find the value of :
(i) 9 x 82 - 9 x 22
(ii) 40 x 5.52 - 40 x 4.52