MP Board · Class 8 · Mathematics · Algebraic Expressions and IdentitiesUsing identity $(a + b)^2 = a^2 + 2ab + b^2$, expand $(2x + 3y)^2$.
Step-by-Step Solution
Here, $a = 2x$ and $b = 3y$. $(2x + 3y)^2 = (2x)^2 + 2(2x)(3y) + (3y)^2 = 4x^2 + 12xy + 9y^2$.
Detailed Options Breakdown
Option : $4x^2 + 12xy + 9y^2$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: $4x^2 + 6xy + 9y^2$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Algebraic Expressions and Identities.
Option 2: $4x^2 + 9y^2$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Algebraic Expressions and Identities.
Option 3: $2x^2 + 12xy + 3y^2$
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.