Expand (2x + 3y) (2x + 3y)(2x + 3y)
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Answered by
11
Answer:
(2x+3y)(2x+3y)(2x+3y)
(2x+3y)^3
put the formula of (a+b)^3 that is a^3+b^3+3a^2b+3ab^2
(2x)^3+(3y)^3+3(2x)^2(3y)+3(2x)(3y)^2
8x^3+27y^3+36x^2y+54xy^2
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Answered by
14
(2x+3y)(2x+3y)(2x+3y) =(2x+3y) ³
we already know that,
(a+b)³=a³+b³+3ab(a+b)
Therefore,
(2x+3y)³=(2x) ³+(3y) ³+3*(2x)*(3y)*(2x+3y)
=8x³+27y³+18xy(2x+3y)
=8x³+27y³+36x²y+54xy²
I hope you have understood.
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