Question

(2x-p+c)²-(2x+p-c)²
with steps ​

Answer 1

Answer

Step  1  : 1.1    Evaluate :  (2x+p-c)2   =  4x2+4xp-4xc+p2-2pc+c2   1.2    Evaluate :  (2x-p+c)2   =  4x2-4xp+4xc+p2-2pc+c2  

Step  2  :Pulling out like terms :

2.1     Pull out like factors :

  8xp - 8xc  =   8x • (p - c)  

Final result : 8x • (p - c)

Answer 2

Step-by-step explanation:

(2x-p+c)²=4x²+p²+c²-4px-2pc+4cx

(2x+p+c)²=4x²+p²+c²+4px+2pc+4cx

On subtraction,

(2x-p+c)²-(2x+p-c)²=

-4px-4px-2pc-2pc=

-8px-4pc