Question : If $(a+b)=5$, then the value of $(a-3)^7+(b-2)^7$ is:
Option 1: $2^7$
Option 2: $3^7$
Option 3: $1$
Option 4: $0$
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Correct Answer: $0$
Solution : Given: $(a+b)=5$ $⇒a=5-b$ The value of the expression $(a-3)^7+(b-2)^7$ is given as, $=(5-b-3)^7+(b-2)^7$ $=(2-b)^7+(b-2)^7$ $=-(b-2)^7+(b-2)^7$ $=0$ Hence, the correct answer is $0$.
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