Question

How to solve this Bionomial equation ?

`(2x+3)^3`

Answer 1

Assuming you mean simplify (not solve, as it's not an equation, but an expression): `8x^{3}+36x^{2}+54x+27`

Explanation:

using the pascal's triangle method, the method is as such:

`(2x+3)^{3}`

This can go to:

`3C0 * (2x)^{3}* (3)^{0} + 3C1 * (2x)^{2}* (3)^{1} + 3C2 * (2x)^{1}* (3)^{2} + 3C3 * (2x)^{0}* (3)^{3}`

this uses the combination functions (nCr)

which simplifies to:

`8x^{3}+36x^{2}+54x+27`