Question

Prove that ‘(p + q) 4 - (pq) 4 = 8pq (p2 + q2)​

Answer 1

Step-by-step explanation:

Prove

(p+q)

4

−(p−q)

4

=8pq(p

2

+q

2

)

LHS

=((p+q)

2

)

2

−((p−q)

2

)

2

Apply a

2

−b

2

=(a+b)(a−b)

=((p+q)

2

+(p−q)

2

)((p+q)

2

−(p−q)

2

)

=(2(p

2

+q

2

))(4pq)

=8pq(p

2

+q

2

)

= RHS

LHS=RHS

pls mark brainliest