Question

factorise 8m^3+512 using identity​

Answer 1

Answer:

We know the identity a

3

−b

3

=(a−b)(a

2

+b

2

+ab)

Using the above identity, the equation x

3

−512 can be factorised as follows:

x

3

−512=(x)

3

−(8)

3

=(x−8)[(x)

2

+(8)

2

+(x×8)]=(x−8)(x

2

+64+8x)

Hence,

If a + b = 4 and

a

1

+

b

1

=4, then find the value of a

3

+b

3