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3 years ago

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If anyone needs help I Can help you

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Nadya [2.5K]3 years ago

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I'll help. I love helping people

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If 3x - 2y = 9 , 27x³- 8y³= 1377 , prove that xy = 4 <br><br><br><br>plzz answer this question...

solniwko [45]

Step-by-step explanation:

Here we are given that , the Value of

$3x - 2y = 9$
$27x^3 - 8y^3 = 1377$

And we need to find the prove that ,

$xy = 4$

We know a identity as ,

$(a-b)^3 = a^3-b^3-3ab(a-b)$

On cubing both sides of the given equation,

$(3x-2y)^3 = 9^3$

Simplify and then substitute ,

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$162xy = 1377-729$

$xy =\dfrac{648}{162}$

$xy = 4$

Hence Proved !

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