Question

The formula of ( a+b)⁵ ​

Answer 1

Answer:

Formula of (a + b)5 = a5 + 2ab + b5

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NOTE :- 5 in degree.

Answer 2

Answer:

a⁵ + ab⁴ + 6a³b² + 4a³b + 8a²b² + a⁴b + b⁵ + 6a²b³ + 4ab³

Step-by-step explanation:

( a + b )⁵ = ( a + b ) ( a + b ) ( a + b ) ( a + b ) ( a + b )

= ( a + b )² ( a + b )² ( a + b )

= ( a² + b² + 2ab ) ( a² + b² + 2ab ) ( a + b )

= [ a² ( a² + b² + 2ab ) + b² ( a² + b² + 2ab )

+ 2ab ( a² + b² + 2ab ) ] ( a + b )

= [ a⁴+ a²b² + 2a²b + a²b² + b⁴ + 2ab²

+ 2a²b + 2ab² + 4a²b² ] ( a + b )

= [ a⁴ + b⁴ + a²b² + a²b²+ 4a²b² +

+ 2a²b + 2a²b + 2ab² + 2ab² ] ( a + b )

= [ a⁴ + b⁴ + 6a²b² + 4a²b + 4ab² ] ( a + b )

= a ( a⁴ + b⁴ + 6a²b² + 4a²b + 4ab² )

+ b ( a⁴ + b⁴ + 6a²b² + 4a²b + 4ab² )

= a⁵ + ab⁴ + 6a³b² + 4a³b + 4a²b²

+ a⁴b + b⁵ + 6a²b³ + 4a²b² + 4ab³

= a⁵ + ab⁴ + 6a³b² + 4a³b + 4a²b² + 4a²b²

+ a⁴b + b⁵ + 6a²b³ + 4ab³

( a + b )⁵ = a⁵ + ab⁴ + 6a³b² + 4a³b + 8a²b²

+ a⁴b + b⁵ + 6a²b³ + 4ab³