Question

Simplify p(p - q) - q(q - p). p 2 - q 2 p 2 + q 2 p 2 + pq - q 2 p 2 - pq - q 2

Answer 1

p^2 - pq - q^2 + pq
= p^2 - q^2

Answer 2

The solution of the expression is
`p(p-q)-q(q-p)=p^2-q^2`

Explanation:

Given : Expression
`p(p-q)-q(q-p)`

To find : Simplify the expression?

Solution :

Step 1 - Write the expression,

`p(p-q)-q(q-p)`

Step 2 - Apply distributive property,
`a(b+c)=ab+ac`

`p(p-q)-q(q-p)=p^2-pq-q^2+qp`

Step 3 - Add like terms,

`p(p-q)-q(q-p)=p^2-q^2`

Therefore, The solution of the expression is
`p(p-q)-q(q-p)=p^2-q^2`