Respuesta :

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

Answer:

The solution of the expression is [tex]p(p-q)-q(q-p)=p^2-q^2[/tex]

Step-by-step explanation:

Given : Expression [tex]p(p-q)-q(q-p)[/tex]

To find : Simplify the expression?

Solution :  

Step 1 - Write the expression,

[tex]p(p-q)-q(q-p)[/tex]

Step 2 - Apply distributive property, [tex]a(b+c)=ab+ac[/tex]

[tex]p(p-q)-q(q-p)=p^2-pq-q^2+qp[/tex]

Step 3 - Add like terms,

[tex]p(p-q)-q(q-p)=p^2-q^2[/tex]

Therefore, The solution of the expression is [tex]p(p-q)-q(q-p)=p^2-q^2[/tex]