6. If a + b + c = 15 and a2
+ b2
+ c2
= 83, find the value of a3
+ b3
+ c3 – 3abc.
7. Factorize:
(i) 6ab – b2
+ 12ac – 2bc
(ii) 9(2a – b)2 – 4(2a – b) – 13
8. If x3
+ ax2 – bx + 10 is divisible by x2 – 3x + 2, find the values of a and b.
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