Math, asked by raj7159, 11 months ago

factorise algebraic 1/8a³+8/b³​

Answers

Answered by Agastya0606
8

Given: The term 1/8a³+8/b³​

To find: Factorise the given equation.

Solution:

  • Now we have given the term:

                     1/8a³+8/b³​

  • We can rewrite it as:

                     (1/2a)³ + (2/b)³​

  • Now we know the formula:

                     a³ + b³ = (a + b)(a² - ab + b²)

  • Applying this, we get:

                     (1/2a)³ + (2/b)³​ = (1/2a + 2/b)( (1/2a)² - (1/2a)(2/b) + (2/b)² )

                     (1/2a)³ + (2/b)³​ = (1/2a + 2/b)( 1/4a² - 1/ab + 4/b² )

                         

Answer:

                  So the factors are (1/2a + 2/b)( 1/4a² - 1/ab + 4/b² )

Answered by sunitasonar2006
1

Answer:

thank you it's very help full mate thanks alot

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