Math, asked by aryansingh6829, 10 months ago

Factorize each of the following expressions:
a³+b³+a+b

Answers

Answered by nikitasingh79
0

The algebraic expression is given as:  a³ + b³ + a + b

= (a³ + b³) + (a + b)

In order to factorise the given algebraic expression as the sum of two cubes we use the following identities - a³ + b³ = (a + b) (a² – ab + b²) :

= (a + b) (a² + b² – ab) + a + b

 a³ + b³ + a + b = (a + b)(a² + b² – ab + 1)

Hence, the factorisation of a³ + b³ + a + b is (a + b)(a² + b² – ab + 1).

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Answered by Anonymous
0

Answer:

Step-by-step explanation:

= (a³ + b³) + (a + b)

In order to factorise the given algebraic expression as the sum of two cubes we use the following identities - a³ + b³ = (a + b) (a² – ab + b²) :

= (a + b) (a² + b² – ab) + a + b

 a³ + b³ + a + b = (a + b)(a² + b² – ab + 1)

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