CBSE · Class 8 · Mathematics · Algebraic Expressions and IdentitiesWhat is the product of $(x + 3)$ and $(x + 4)$ using standard identity?
Step-by-Step Solution
Using identity $(x + a)(x + b) = x^2 + (a + b)x + ab$: $(x + 3)(x + 4) = x^2 + (3 + 4)x + (3 \times 4) = x^2 + 7x + 12$.
Detailed Options Breakdown
Option : $x^2 + 7x + 12$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: $x^2 + 12x + 7$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Algebraic Expressions and Identities.
Option 2: $x^2 + 7x + 7$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Algebraic Expressions and Identities.
Option 3: $x^2 + 12$
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.