Question

a3-3a2b+3ab2-b3 is divided by (a-b) then remainder is?​

Answer 1

Answer:

0

Step-by-step explanation:

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Answer 2

The remainder when a³ - 3 a²b + 3 ab² - b³ is divided by ( a - b ) is equal to zero.

Given: a³  -3 a²b + 3 ab² - b³ is divided by ( a - b ).

To Find: The remainder when a³ - 3 a²b + 3 ab² - b³ is divided by ( a - b ).

Solution:

When we see the expression a³ - 3 a²b + 3 ab² - b³, we get reminded of the formula for ( a - b )³.

        ( a - b )³ = a³ - b³ - 3 ab ( a - b )

                      = a³ - 3 a²b + 3 ab² - b³

So, when ( a - b )³ is divided by ( a - b ), the remainder must be zero and the quotient must be ( a - b )² or a² - 2 ab + b².

Hence, the remainder when a³ - 3 a²b + 3 ab² - b³ is divided by ( a - b ) is equal to zero.

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