Question

Add
(d) 8m - 9n + 2 and -9m + 8n - 2​

Answer 1

The addition of algebraic terms is always on the basis of like terms.

Like terms are the terms that have same variables and powers of the variables also being same.

Only like terms are added to one another and if a number has no like terms ; they are left as it is and brought down to the answer column directly.

Following the information above ; we will solve the given problem.

$\longrightarrow{\sf{8m - 9n + 2 (+) -9m + 8n - 2}}$

Bringing up all the like terms near each other we get :

$\longrightarrow{\sf{8m + (-9m) +(-9n) + 8n + 2 + (-2)}}$

Simplification of the symbols ; we get :

$\longrightarrow{\sf{8m - 9m - 9n + 8n + 2 - 2}}$

We have simplified the symbols on basis of :

(+ , - ) => (-)

(- , +) => (-)

(- , -) = (+)

Now the best step is to simply simplify according to the symbols :

$\longrightarrow{\sf{8m - 9m - 9n + 8n \cancel{+ 2 - 2}}}$

$\longrightarrow{\sf{-1m - 1n + 0 }}$

So final answer is :

$\large{\boxed{\implies {\sf{-1m - 1n}}}}$

Answer 2

Your Answer :-

We can add only the Like Terms In these kind of Expressions.

$\sf{8m - 9n + 2 + ( - 9m + 8n - 2)}$

$\sf{8m - 9n + 2 - 9m + 8n - 2}$

Seperate The Like Terms.

$\sf{8m - 9m - 9n + 8n + 2 - 2}$

$\sf{- 1m - 1n + 0}$

$\sf{ - m - n}$

So, The Answer ⟹ -m-n.