Write the following cubes in expanded form: (x-2/3y)*3
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EXPLANATION.
⇒ Expand : (x - 2y/3)³.
As we know that,
Formula of :
⇒ (a - b)³ = a³ - 3a²b + 3ab² - b³.
Using this formula in the equation, we get.
⇒ (x - 2y/3)³ = (x)³ - 3(x)²(2y/3) + 3(x)(2y/3)² - (2y/3)³.
⇒ (x - 2y/3)³ = x³ - 2x²y + 3(x)(4y²/9) - (8y³/27).
⇒ (x - 2y/3)³ = x³ - 2x²y + 4y²x/3 - 8y³/27.
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Step-by-step explanation:
EXPLANATION.
⇒ Expand : (x - 2y/3)³.
As we know that,
Formula of :
⇒ (a - b)³ = a³ - 3a²b + 3ab² - b³.
Using this formula in the equation, we get.
⇒ (x - 2y/3)³ = (x)³ - 3(x)²(2y/3) + 3(x)(2y/3)² - (2y/3)³.
⇒ (x - 2y/3)³ = x³ - 2x²y + 3(x)(4y²/9) - (8y³/27).
⇒ (x - 2y/3)³ = x³ - 2x²y + 4y²x/3 - 8y³/27.
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