Question

factorise this expression​

Answer 1

The factors are a(a³ + b³).

Step-by-step explanation:

Given:

The expression is:

a (a + b)³ - 3a²b (a + b)

Solution:

Factorize the expression as follows:

a (a + b)³ - 3a²b (a + b) = a(a + b) [(a + b)² - 3ab]

                                     = a(a + b) [a² + b² + 2ab - 3ab]

                                     =  a(a + b) [a² + b² - ab]

                                     = a (a³ + b³)

Thus, the factors are a(a³ + b³).

Answer 2

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