High School

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Factorize the following expression:

\[ 64x^3 - 48x^2 + 12xy^2 - y^3 \]

Answer :

=> 64x³ - 48x²y + 12xy² - y³

=> (4x)³ - 3(4x)²(y) + 3(4x)(y)² - y³

We know the formula: (a - b)³ = a³ - 3a²b + 3ab² - b³

By applying this formula above, we will get

=> (4x - y)³. (Ans)

Hope this helps!

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Rewritten by : Barada

or you can just put it in a smaller form by saying (4x - y)³