Question

find value of x cube minus 8 y cube minus 36 x y - 220 when x =2y+6​

Answer 1

value of x³ - 8y³ - 36xy - 220 would be -4 when x = 2y + 6

we have to find the value of x³ - 8y³ - 36xy - 220 when x = 2y + 6.

⇒x = 2y + 6

⇒x - 2y = 6..........(1)

x³ - 8y³ - 36xy - 220

= x³ - (2y)³ - 36xy - 220

[ using formula, a³ - b³ = (a - b)³ + 3ab(a - b) ]

= (x - 2y)³ + 3x(2y)(x - 2y) - 36xy - 220

= (6)³ + 6xy(6) - 36xy - 220 [ from eq (1). ]

= 216 + 36xy - 36xy - 220

= -4

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