Simplify (2x + p − c)2− (2x − p + c)2

1.	Simplify (2x + p − c)2− (2x − p + c)2
Answer» Answer: 8x(p−c) = 8xp − 8xc Step-by-step EXPLANATION: Apply the formula, a^2 - b^2 = (a+b)(a−b) , to SIMPLIFY the expression. (2x+p−c)^2 − (2x−p+c)^2 =(2x+p−c+2x−p+c){2x+p−c−(2x−p+c)} = (4X)(2x+p−c−2x+p−c) = (4x)(2p−2c) = 8x(p−c) = 8xp − 8xc = 8x(p - c) Hence, the required answer = 8x(p - c)

Answer»

Answer:

8x(p−c) = 8xp − 8xc

Step-by-step EXPLANATION:

Apply the formula,

a^2 - b^2 = (a+b)(a−b) ,

to SIMPLIFY the expression.

(2x+p−c)^2 − (2x−p+c)^2

=(2x+p−c+2x−p+c){2x+p−c−(2x−p+c)}

= (4X)(2x+p−c−2x+p−c)

= (4x)(2p−2c)

= 8x(p−c)

= 8xp − 8xc

= 8x(p - c)

Hence, the required answer =

8x(p - c)

Discussion