How to solve this Bionomial equation ?

Question

#(2x+3)^3#

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Answer 1 · 2018-06-12T17:31:30

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

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#