Evaluate: (3x-2y)^3 using identity

1.	Evaluate: (3x-2y)^3 using identity
Answer» Step by step Explanation : (3x - 2Y)^3 Identity used : (a+b)^3 = a^3 + b^3 + 3AB(a+b) a = 3x and b = 2y = (3x)^3 + (2y)^3 + 33x2y(3x+2y) = 27x^3 + 8y^3 + 18xy(3x+2y) = 27x^3 + 8y^3 + 54x^2y + 36xy^2 Hence, the ANSWER is 27x^3 + 8y^3 + 54x^2y + 36xy^2.

Answer»

Step by step Explanation :

(3x - 2Y)^3

Identity used : (a+b)^3 = a^3 + b^3 + 3AB(a+b)

a = 3x and b = 2y

= (3x)^3 + (2y)^3 + 3*3x*2y(3x+2y)

= 27x^3 + 8y^3 + 18xy(3x+2y)

= 27x^3 + 8y^3 + 54x^2y + 36xy^2

Hence, the ANSWER is 27x^3 + 8y^3 + 54x^2y + 36xy^2.

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Evaluate: (3x-2y)^3 using identity​

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Evaluate: (3x-2y)^3 using identity