Question

p power 4-(p+q)power4

Answer 1

p^4-(p+q)^4
=p^4-p^4-4pq^3-4(p^3)q-6(p^2)(q^2)-q^4
=-4pq^3-4(p^3)q-6(p^2)(q^2)-q^4

Explanation :
(a+b)4= (a+b)3(a+b)

= (a3 + 3a2b + 3ab2 + b3)a + (a3 + 3a2b + 3ab2 + b3)b

= a4 + 3a3b + 3a2b2 + ab3 + a3b + 3a2b2 + 3ab3 + b4

= a4 + 4a3b + 6a2b2 + 4ab3 + b4