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If a + b = 1, find the value of a3 + b3 - ab - (a2 - b2)2 = ?
Answer & Solution
Correct Answer:
Option
A
$$\eqalign{
& {\text{Let}} \cr
& a = 0 \cr
& b = 1 \cr
& \Rightarrow {a^3} + {b^3} - ab - {\left( {{a^2} - {b^2}} \right)^2} \cr
& \Rightarrow 0 + 1 - 0 - {\left( {0 - 1} \right)^2} \cr
& \Rightarrow 1 - 1 \cr
& \Rightarrow 0 \cr} $$
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