Question
The value of (2x−3y)3+(x+3y)3+3(2x−3y)2(x+3y)+3(2x−3y)(x+3y)2=
Answer: Option A
:
A
Substitute 2x−3y=a and (x+3y)=b
(2x−3y)3+(x+3y)3+3(2x−3y)2(x+3y)+3(2x−3y)(x+3y)2
=a3+b3+3a2b+3ab2
=(a+b)3
=(2x−3y+x+3y)3
=(3x)3
=27x3
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:
A
Substitute 2x−3y=a and (x+3y)=b
(2x−3y)3+(x+3y)3+3(2x−3y)2(x+3y)+3(2x−3y)(x+3y)2
=a3+b3+3a2b+3ab2
=(a+b)3
=(2x−3y+x+3y)3
=(3x)3
=27x3
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