Expand the following
(3x - 2y )³
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Expand the following -» (3x - 2y )³
Given: Expression (3x - 2y)³
To find: Write the expression in expanded form?
Solution:
Using algebraic identity,
(a - b)³ = a³-b³-3ab(a - b)
Here, a=3x and b=2y
Substitute the values,
(3x-2y)³ = (3x)³ - (2y)³ -
3(3x) (2y) (3x-2y)
(3x - 2y)³ = 27x³ - 8y³ – 18xy(3x – 2y)
(3x-2y)³ = 27x³8y³54x²y+36xy²
Therefore, the expanded form is
(32 2y)³ = 27³-8y³-54x²y + 36ay²
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