Expand the following cubes:(3a – 2b)3

Using Identity:(x – y)3 = x3 – y3 – 3x2y + 3y2x(3a – 2b)3 = (3a)3 – (2b)3 – 3(3a)2(2b) + 3(2b)2(3a)= 27a3 – 8b3 – 54a2b + 36b2a

Q. 6 A5.0( 2 Votes )

Expand the following cubes:

(3a – 2b)³

Answer :

Using Identity:

(x – y)³ = x³ – y³ – 3x²y + 3y²x

(3a – 2b)³ = (3a)³ – (2b)³ – 3(3a)²(2b) + 3(2b)²(3a)

= 27a³ – 8b³ – 54a²b + 36b²a

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