Hello!
The answer is: is B. [tex]5ab^{3}+3a^{2}b^{2} +a^{3}b-10[/tex]
Why?
Let's put a letter to each option in order to make the option identification easier:
A - [tex]5ab^{3}+7-3a^{2}b^{2} +a^{3}b-10[/tex]
B - [tex]5ab^{3}+3a^{2}b^{2} +a^{3}b-10[/tex]
C - [tex]5ab^{3} + 2b(3ab^{2})+a^{3}b-10[/tex]
D - [tex]5a^{3}b^{3}+3a^{2}b^{2}+a^{3}b^{3} -10ab[/tex]
Calculations:
A
[tex]5ab^{3}+7-3a^{2}b^{2} +a^{3}b-10= 5ab^{3}+7-3a^{2}b^{2} +a^{3}b-3[/tex]
We combined like terms for -10 and 7.
B
[tex]5ab^{3}+3a^{2}b^{2} +a^{3}b-10[/tex]
There is no way to simplify by combining like terms.
C
[tex]5ab^{3} + 2b(3ab^{2})+a^{3}b-10=5ab^{3} + 6ab^{3} +a^{3}b-10=11ab^{3}+a^{3}b-10[/tex]
We simplified by combining like terms for [tex]ab^{3}[/tex]
D
[tex]5a^{3}b^{3}+3a^{2}b^{2}+a^{3}b^{3} -10ab=6a^{3}b^{3} +3a^{2}b^{2}-10ab[/tex]
We simplified by combining like terms for [tex]a^{3}b^{3}[/tex]
Therefore, the expression that can not be simplified by combining like terms is B. [tex]5ab^{3}+3a^{2}b^{2} +a^{3}b-10[/tex]
Have a nice day!
