If 5x – 6y =13 and xy=6 then find the value of 125 x3 – 216y3
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Answered by
0
Answer:
Solution
It is given that 3x+2y=12 and xy=6.
We find the value of 27x
3
+8y
3
as shown below:
27x
3
+8y
3
=(3x)
3
+(2y)
3
=(3x+2y)[(3x)
2
−(3x×2y)+(2y)
2
](∵a³+b³=(a+b)(a²−ab+b²))
=12[(3x)
2
−(6×xy)+(2y)
2
](∵3x+2y=12,xy=6)
=12[(3x)
2
−(6×6)+(2y)
2
]
=12[(3x)
2
−36+(2y)
2
]
=12[(3x)
2
+(2y)
2
+(2×3x×2y)−(2×3x×2y)−36]
=12[(3x+2y)
2
−12xy−36]
=12[(12)
2
−(12×6)−36]
=12(144−72−36)
=12(144−108)
=12×36
=432
Hence, 27x
3
+8y
3
=432.
Step-by-step explanation:
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Answered by
0
Answer:
loogarithm of 243 to the base b is 3
Step-by-step explanation:
a milky fluid found in many plants, such as poppies and spurges, which exudes when the plant is cut and coagulates on exposure to the air. The latex of the rubber tree is the chief source of natural rubber.
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