Question

Simplify: p+(p-q)+q+(q-p)​

Answer 1

Answer:

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 !!

Step-by-step explanation:

Hope it may help you

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Answer 2

Step-by-step explanation:

$p + (p - q) + q + (q - p) \\ p + p - q + q + q - p \\ 2p - p - q + 2q \\ p + q$

I hope it helps you