Answer:
There are 4 terms in the expansion of the given expression [tex](12+r)^3[/tex]
Therefore [tex](12+r)^3=1728+r^3+432r+48r^2[/tex]
Step-by-step explanation:
Given expression is [tex](12+r)^3[/tex]
To find how many terms in the expansion of the given expression :
[tex](12+r)^3=12^3+r^3+3(12)^2r+3(12)r^2[/tex]
[tex]=1728+r^3+3(144)r+48r^2[/tex]
[tex]=1728+r^3+432r+48r^2[/tex]
Therefore [tex](12+r)^3=1728+r^3+432r+48r^2[/tex]
There are 4 terms in the expansion of the given expression