simplify : ( x-2 )^3
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Answered by
13
Hey mate !!
Here's the answer !!
The given equation in the question is in the form of ( a - b )³. Hence we can expand it.
We know that,
( a - b )³ = a³ -3a²b + 3ab² - b³
In the question, we take it as
a = x and b = 2
Hence if we substitute in the formula we get,
( x - 2 )³ = x³ - 3 ( x)² ( 2 ) + 3 ( x ) ( 2 )² - ( b )³
=> ( x - 2 )³ = x³ - 6x² + 12x - b³
Hence the expanded form of ( x - 2 )³ is ( x³ - 6x² + 12x - b³ )
Since the given equation is already simplified, the simplified equation is
(x - 2 )³ itself.
Hope my answer helps !!
Cheers !!
Here's the answer !!
The given equation in the question is in the form of ( a - b )³. Hence we can expand it.
We know that,
( a - b )³ = a³ -3a²b + 3ab² - b³
In the question, we take it as
a = x and b = 2
Hence if we substitute in the formula we get,
( x - 2 )³ = x³ - 3 ( x)² ( 2 ) + 3 ( x ) ( 2 )² - ( b )³
=> ( x - 2 )³ = x³ - 6x² + 12x - b³
Hence the expanded form of ( x - 2 )³ is ( x³ - 6x² + 12x - b³ )
Since the given equation is already simplified, the simplified equation is
(x - 2 )³ itself.
Hope my answer helps !!
Cheers !!
Answered by
0
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