Question

Simplify the expression and cancel 'D':

d= √((x+ D/2)^2 + y2) - √((x2+ D/2)^2 + y2 )
A. √(x2 +y2 )+ D/2
B. √(x2 +y2 )+ D/2
C. x-D
D. x+D

Answer 1

To simplify the given expression and cancel 'D', we factor out a common factor of D/2 from both terms and simplify step-by-step. The simplified expression, after canceling 'D', is D/2 - √(D^2 + xD).

Step-by-step explanation:

To simplify the expression and cancel 'D', we can factor out a common factor of D/2 from both terms.

d = √((x+ D/2)^2 + y^2) - √((x^2+ D/2)^2 + y^2)

Let's simplify the expression step-by-step: