Evaluate (x + 1)2 − (x − 1)2

A. 4x2
B. 2x−2
C. 4x
D. 4(1+x)

1 answer

To evaluate the expression (x + 1)2 − (x − 1)2, we can expand the squares and simplify the expression.

Expanding the first square, we get:

(x + 1)2 = x2 + 2x + 1

Expanding the second square, we get:

(x − 1)2 = x2 − 2x + 1

Substituting these values back into the expression, we have:

(x + 1)2 − (x − 1)2 = (x2 + 2x + 1) − (x2 − 2x + 1)

Simplifying this expression, we have:

(x2 + 2x + 1) − (x2 − 2x + 1) = x2 + 2x + 1 − x2 + 2x - 1

Combining like terms, we have:

x2 - x2 + 2x + 2x + 1 - 1 = 4x

Therefore, the correct answer is C. 4x.