Question:
The expression
\[
\left| (a + 1)^2 \, (b + 1)^2 \, (c + 1)^2 \right|
\]
is equal to
The expression
\[
\left| (a + 1)^2 \, (b + 1)^2 \, (c + 1)^2 \right|
\]
is equal to
Show Hint
Use algebraic identities like the expansion of squares and the distributive property to simplify expressions.
Updated On: Apr 1, 2025
- \( -4(a - b)(b - c)(c - a) \)
- \( 4(a - b)(b - c)(c - a) \)
- \( 2(a - b)(b - c)(c - a) \)
- \( 2(a - b)(b - c)(c - a) \)
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The Correct Option is A
Solution and Explanation
The expression simplifies using the identity for expanding squares and factoring the terms.
Upon simplification, we get the correct expression as \( -4(a - b)(b - c)(c - a) \).
Upon simplification, we get the correct expression as \( -4(a - b)(b - c)(c - a) \).
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