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Step-by-step explanation:
11) (i) Square both sides
(a - 1/a)^2 = 2^2
Expanding
a^2 - 2(a)(1/a) + 1/a^2 = 4
a^2 - 2 + 1/a^2 = 4
a^2 + 1/a^2 = 4+2
a^2 + 1/a^2 = 6 (Proved)
11) (ii) Squaring the answer to part (i)
(a^2 + 1/a^2)^2 = 6^2
Expanding
(a^2)^2 + 2(a^2)(1/a^2) + (1/a^2)^2 = 36
a^4 + 2 + 1/a^4 = 36
a^4 + 1/a^4 = 36 - 2
a^4 + 1/a^4 = 34 (Proved)
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Your answer is in the picture....
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