Expand $(2x+3y)^3$ using binomial theorem expansion?

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Answer 1 · 2016-10-07T12:12:41

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

Using Binomial theorem expansion,

$(x+y)^3=x^3+3x^2y+3xy^2+y^3$

Hence $(2x+3y)^3$

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

= $8x^3+3*4x^2*3y+3*2x*9y^2+27y^3$

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

Expand (2x+3y)^3(2x+3y)^3 using binomial theorem expansion?