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`        factorize:27x^3+8x^3+1`
6 years ago

SAGAR SINGH - IIT DELHI
879 Points
```										Dear student,
Its (3x)^3+(2x)^3+1^3
use the expansion for a3+b3+c3

All the best.
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Sagar Singh
B.Tech, IIT Delhi

```
6 years ago
Sudheesh Singanamalla
114 Points
```										27 x^3 + 8 x^3 + 1
= 35 x^3 + 1
a3 + b3  = (a + b)(a2 – ab + b2)
so
35 x^3 + 1 = (35x + 1 ) ( 35 x^2 - 35 x + 1)
Solving the (35x^2 - 35x + 1) as quadratic equation)
roots are 35 + sqrt(1085) and 35 - sqrt(1085)
35x+1 = 0 ----------
==> x = -1/2
therefore roots are
x = -1/2
x = 35 + sqrt (1085)
x = 35 - sqrt (1085)
--------------------------------------------------------------------------------------
--------------------------------------------------------------------------------------
```
6 years ago
indrayani bargaje
33 Points
```										pleaSE tell me the identity of a^3+b^3+c^3
```
6 years ago
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