Question

For the simplified form of the expression $2a+3b-4a+6b+2a-9b,$ which of the following statements is correct?

• A. Contains only variable "$a$"
• B. Contains only variable "$b$"
• C. A constant term
• D. Zero

Answer 1

The correct option is D Zero

We are given with an algebraic expression $2a+3b-4a+6b+2a-9b$.
Combining the like terms together in the expression:

$=(2a-4a+2a)+(3b+6b-9b)$
Simplifying the like terms:

$=\underset{–}{(2a-4a+2a)}+\underset{–}{(3b+6b-9b)}$

$=\underset{–}{(2a+2a-4a)}+\underset{–}{(9b-9b)}$

$=\underset{–}{(4a-4a)}+0$

$=0+0=0$

As a result, the value of the expression $2a+3b-4a+6b+2a-9b$ after simplification is $0$.

We know that $0$ is neither a constant term nor a variable term as $0$ can also be represented as $0x$. Therefore, option (d.) is the correct answer.