Factorise :
1029 - 3x3
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Given,
= 3(343 - x3)
= 3[(7)3 - (x)3]
= 3(7 - x)[(7)2 + 7x + x2] [∵ a3 - b3 = (a - b)(a2 + ab + b2)]
= 3(7 - x)(x2 + 7x + 49).
Hence, 1029 - 3x3 = 3(7 - x)(x2 + 7x + 49).
Answered By
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a2(b + c) - (b + c)3
2x3 + 54y3 - 4x - 12y
Show that :
(i) 133 - 53 is divisible by 8.
(ii) 353 + 273 is divisible by 62.