Question

Simplify (2x + p − c)2− (2x − p + c)2

Answer 1

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 2

Answer:

8x(p - c)

Step-by-step explanation:

(2x + p − c)² − (2x − p + c)²

Apply the formula - (a + b)(a - b) = a² - b²

 (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)

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