Find the following products:
(i) ( (i) Given that: = [∵ (a + b)(a2 – ab + b2) = a3 + b3] = (ii) Given that: (x2 − 1) (x4 + x2 + 1) = (x2 − 1) [(x2)2 + (x2) (1) + (1)2] = (x2)3 − (1)3 [∵ (a – b) (a2 + ab + b2) = a3 – b3] = x6 − 1
+ 2
33
Find the following products:
(i) ( (i) Given that: = [∵ (a + b)(a2 – ab + b2) = a3 + b3] = (ii) Given that: (x2 − 1) (x4 + x2 + 1) = (x2 − 1) [(x2)2 + (x2) (1) + (1)2] = (x2)3 − (1)3 [∵ (a – b) (a2 + ab + b2) = a3 – b3] = x6 − 1 + 2