Question

Add the following algebraic terms 3x, -3x, 5y, 7y.

Answer 1

Hint: Addition in algebraic numbers is similar to the usual numbers.
Here we need to add 3x, -3x, 5y, 7y. We’ll add as follows:
$$\begin{gathered} 3x+(-3x)+5y+7y \\ =3x-3x+(5+7)y \\ =(3-3)x+(12)y \\ =(0)x+12y \\ =0+12y \\ =12y \end{gathered}$$
Hence, 12y is the required solution.
Note: Addition, subtraction, multiplication of algebraic expressions is the same as usual numbers but we need to be careful with the divisions because we don’t want 0 in the denominator.