Question

answer the 8th question ​

Answer 1

Answer:

a^3-ab^2+ac^2+b^2a+b^3-cb^2-ac^2+bc^2+c^3

a^3+b^3+c^3

Step-by-step explanation:

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Answer 2

To simplify -

a² ( a - b + c ) + b² ( a + b - c ) + c² ( a - b - c ) .

Solution -

a² ( a - b + c ) + b² ( a + b - c ) + c² ( a - b - c )

=> a² [ a ] - a² [ b ] + a² [ c ] + b² [ a ] + b² [ b ] - b² [ c ] + c² [ a ] - c² [ b ] - c² [ c ]

=> a³ - a²b + a²c + ab² + b³ - b²c + ac² - bc² - c³

=> a³ - a²b + ab² + ac²+ a²c - b²c - bc² + b³ - c³

=> a³ - ab( a - b ) + ac ( a + c ) - bc ( b + c ) + b³ - c³

Hence Simplified .

Additional Information -

( a + b )² = a² + 2ab + b²

( a - b )² = a² - 2ab + b²

( a + b )( a + c ) = a² + a ( b + c ) + c²

( a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac .

( a + b - c )² = a² + b² + c² + 2ab + 2bc - 2ac .

( a - b - c )² = a² + b² + c² - 2ab + 2bc - 2ac .

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