Answer:
Expression 2b+b and 3b have same values for all values of b.
Step-by-step explanation:
Given the two expression [tex]2b+b[/tex] and [tex]3b[/tex] and values of b as 1, 2 and 3.
Consider first expression that is, [tex]2b+b[/tex].
Substituting the value of [tex]b=1[/tex],
[tex]2\left(1\right)+\left(1\right)=2+1=3[/tex] ....1
Substituting the value of [tex]b=2[/tex],
[tex]2\left(2\right)+\left(2\right)=4+2=6[/tex] ....2
Substituting the value of [tex]b=3[/tex],
[tex]2\left(3\right)+\left(3\right)=6+3=9[/tex] ....3
Consider second expression that is, [tex]3b[/tex].
Substituting the value of [tex]b=1[/tex],
[tex]3\left(1\right)=3[/tex] ....4
Substituting the value of [tex]b=2[/tex],
[tex]3\left(2\right)=6[/tex] ....5
Substituting the value of [tex]b=3[/tex],
[tex]3\left(3\right)=9[/tex] ....6
For value of b=1, equation 1 and equation 4 are same, for value of b=2, equation 2 and equation 5 are same and for value of b=3 equation 3 and equation 6 are same.
Therefore both expression are same for all values of b.
