Question

simplify(p+q+r)^2+(p-q-r)^2​

Answer 1

Answer:

2(p²+q²+r²+2pq) is the simplified value

Answer 2

Answer:

Step 1:

1.1 Evaluate : (p+q+r)2 = p2+2pq+2pr+q2+2qr+r2

1.2 Evaluate : (p-q-r)2 = p2-2pq-2pr+q2+2qr+r2

STEP 2

:

Pulling out like terms

2.1 Pull out like factors :

2p2 + 2q2 + 4qr + 2r2 =

2 • (p2 + q2 + 2qr + r2)

Final result :

2 • (p2 + q2 + 2qr + r2)