Which is the solution to the equation solved for p? (q + p)q = (s + r)s

Answer:
Option B
Step-by-step explanation:
[tex](q + p)q = (s + r)s[/tex]
Lets open the brackets of L.H.S.
[tex]=> q^2 + pq = (s+ r)s[/tex]
Lets substract q² from both the sides.
[tex]=> q^2 + pq - q^2 = (s + r)s - q^2[/tex]
[tex]=> pq = (s + r)s - q^2[/tex]
Lets divide both the sides by q.
[tex]=> \frac{pq}{q} = \frac{(s + r)s - q^2}{q}[/tex]
[tex]=> p = \frac{(s + r)s }{q} - \frac{q^2}{q} = \frac{(s + r)s}{q} - q[/tex]