Question

The expression \[ \left| (a + 1)^2 \, (b + 1)^2 \, (c + 1)^2 \right| \] is equal to

• A. \( -4(a - b)(b - c)(c - a) \)
• B. \( 4(a - b)(b - c)(c - a) \)
• C. \( 2(a - b)(b - c)(c - a) \)
• D. \( 2(a - b)(b - c)(c - a) \)

Hint:

Use algebraic identities like the expansion of squares and the distributive property to simplify expressions.

Answer 1

The Correct Option is A

The expression simplifies using the identity for expanding squares and factoring the terms.
Upon simplification, we get the correct expression as \( -4(a - b)(b - c)(c - a) \).