What is the constant term in the expansion of the binomial #(2x+3)^3#?

Question

4906 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-14T16:16:28

#27#

when expanding

#(2x+3)^3#

each term have two parts

#(a) "the powers of "2x " & " 3#

the respective terms will be term will have

#(2x)^3;" "(2x)^2(3);" "(2x)(3);" "(3)^3#

#(b) the coefficients according to Pascals triangle

which will be

#1,3,3,1#

so looking at the two we see that the consta term will be

#1xx3^3=27#