expansion lesson 3 std 9th icse
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Your Solution ⬇⬇⬇
Given ,
=> X - Y = 7
=> X³ - Y³ =133
⬛ To Find
=> x² + y² = ????
Applying Formula ----
=> (X - Y)³ = X³ - Y³ - 3XY(X-Y)
=> (7)³ = 133 - 3XY(7)
=> 343 -133 = - 21X.Y
=> -210 = 21X.Y
=> X.Y = -10
NOW :-
=> (X - Y)² = X² + Y² -2X.Y
=> 49 = X² + Y² -(-20)
=> X² + Y² => 49 -20
=> X² + Y² = 29
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