MP Board · Class 8 · Mathematics · Algebraic Expressions and IdentitiesWhat is the simplified expansion of $(3a - 2b)^2$?
Step-by-Step Solution
Using $(a - b)^2 = a^2 - 2ab + b^2$: $(3a - 2b)^2 = (3a)^2 - 2(3a)(2b) + (2b)^2 = 9a^2 - 12ab + 4b^2$.
Detailed Options Breakdown
Option : $9a^2 - 12ab + 4b^2$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: $9a^2 - 6ab + 4b^2$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Algebraic Expressions and Identities.
Option 2: $9a^2 + 12ab + 4b^2$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Algebraic Expressions and Identities.
Option 3: $9a^2 - 4b^2$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Algebraic Expressions and Identities.
💡 Study Guide: This question tests core syllabus concepts from Algebraic Expressions and Identities. For formulas, key summaries, and mock exam reference guides, read the full Algebraic Expressions and Identities Revision Notes.