If 2x − 3 = 10 and xy = 16; find the value of 83 − 273
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Step-by-step explanation:
Given:-
2x - 3y = 10 and xy = 16
2x-3y=10
cubing both the sides,
(2x-3y) ³ = 10³
= (2x) ³ - (3y)³ - 3 (2 x) (3 y) ( 2x - 3y) = 1000
{since, (a - b)³ = a³ - b³ - 3ab ( a - b)}
= 8x³ - 27y³ - 18 × 16 × 10 = 1000
= 8x³ - 27y³ - 2880 = 1000
= 8x³ - 27y³ = 1000 + 2880
= 8x³ - 27y³ = 3880.
hence, the answer is 3880
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