CBSE · Class 9 · Mathematics · PolynomialsWhich of the following is an expansion of (x + y + z)^2?
Step-by-Step Solution
The algebraic identity for the square of a trinomial is (x + y + z)^2 = x^2 + y^2 + z^2 + 2xy + 2yz + 2zx. This is one of the standard standard algebraic identities learned in class 9.
Detailed Options Breakdown
Option : x^2 + y^2 + z^2 + xy + yz + zx
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Polynomials.
Option 1: x^2 + y^2 + z^2 + 2xy + 2yz + 2zx (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: (x+y+z)(x^2+y^2+z^2)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Polynomials.
Option 3: x^2 + y^2 + z^2 - 2xy - 2yz - 2zx
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Polynomials.
💡 Study Guide: This question tests core syllabus concepts from Polynomials. For formulas, key summaries, and mock exam reference guides, read the full Polynomials Revision Notes.