Math, asked by tejbirsingh956, 1 year ago

Write the following cube in expanded form 2a - 3b whole cube

Answers

Answered by StarGazer001
20

\bold{Question\:=>\:}

\bold{(2a-3b)^3}

\bold{Answer\:=>\:}

\boxed{(x-y)^3=x^3-3x^2y+3xy^2-y^3}

\bold{x=2a\:,\:y=3b}

[substitute the values]

\bold{(2a-3b)^3=2a^3-3(2a)^2.3b+3.2a.(3b)^2-3b^3}

\bold{=\: 8a^3 -  3.4a^2.3b+6a.9b^2 - 27b^3}

\bold{=\: 8a^3 - 36a^2b + 54ab^2 - 27b^3}

\boxed{Therefore\:(2a-3b)^3=\: 8a^3 - 36a^2b + 54ab^2 - 27b^3}


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Answered by jayendrapanghal
2

Answer:

8a³ - 36a²b + 54ab² - 27b³

Step-by-step explanation:

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