Question

simplify : p+(p-q)+q+(q-p)​

Answer 1

p+(p-q) +q+(q-p) = p+q

Following the BODMAS rules :

B - Bracket

O - Of

D - Division

M- Multiplication

A - Addition

S- Subtraction

It goes on like this

Split the equation into two parts

Part 1 : p + (p-q)

Part 2 : q+(q-p)

Solution for Part 1:

p + (p-q) = p+p-q = 2p-q

Solution for Part 2:

q+( q-p) = q+q-p = 2q -p

Adding the two solutions

2p-q+2q-p = 2p-p+2q-q = p+q

There’s your solution !!