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:
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 \(p(p-q)-q(q-p)=p^2-q^2\)