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

Answer:

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

Step-by-step 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 $p(p-q)-q(q-p)=p^2-q^2$