Question

PLS ANSWER THIS FAST.......I WILL MRK IT AS BRAINLIEST
factorise (p-2q+3r)^2_(p+2q-3r)^2

Answer 1

p-2q+3r2-(p+2q-3r)2 

Final result :

-p2 - 4pq + 6pr + p - 4q2 + 12qr - 2q - 6r2

Step by step solution :

Step  1  :

Equation at the end of step  1  :

((p - 2q) + 3r2) - (p + 2q - 3r)2

Step  2  :

 2.1    Evaluate :  (p+2q-3r)2   =  p2+4pq-6pr+4q2-12qr+9r2 

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   -p2 - 4pq + 6pr + p - 4q2 + 12qr - 2q - 6r2  = 

  -1 • (p2 + 4pq - 6pr - p + 4q2 - 12qr + 2q + 6r2) 

Final result :

-p2 - 4pq + 6pr + p - 4q2 + 12qr - 2q - 6r2