Question

(p + q)2 - (p - q)2 + p2q

Answer 1

As per data given in the question,

We have to find the value of the expression $(p + q)^2 - (p - q)^2 + p^2q$

So, for solving the expression,

We will use identities,

As we know that,

$(x+y)^2=x^2+y^2+2xy$

and,

$(x-y)^2=x^2+y^2-2xy$

So, applying the above identity in given expression,

We will get,

$(p + q)^2 - (p - q)^2 + p^2q\\(p^2+q^2+2pq)-(p^2+q^2-2pq)+p^2q\\=> (p^2+q^2+2pq-p^2-q^2+2pq+p^2q\\=>4pq+p^2q$

Hence, value of the given expression will be $4pq+p^2$