If a/b + b/a = -1, then find a3-b3.
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8
a/b + b/a = -1
a^2+b^2/ab= -1
a^2+b^2= -ab......... eq 1
a^3-b^3= (a-b)(a^2+ab+b^2)
= (a-b)(-ab+ab) from eq 1
=(a-b) × 0
=0
Answered by
2
:a/b + b/a = -1
a^2+b^2/ab= -1
a^2+b^2= -ab......... eq 1
a^3-b^3= (a-b)(a^2+ab+b^2)
= (a-b)(-ab+ab) ....... from eq 1
=(a-b) × 0 =0
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