MP Board · Class 8 · Mathematics · FactorisationWhat are the factors of $a^2 - b^2$?
Step-by-Step Solution
The expression $a^2 - b^2$ is a standard algebraic identity representing the difference of two squares. According to the identity, $a^2 - b^2 = (a - b)(a + b)$. Therefore, the correct option is $(a + b)(a - b)$.
Detailed Options Breakdown
Option : (a - b)(a - b)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Factorisation.
Option 1: (a + b)(a + b)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Factorisation.
Option 2: (a + b)(a - b) (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: a(a - b)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Factorisation.
💡 Study Guide: This question tests core syllabus concepts from Factorisation. For formulas, key summaries, and mock exam reference guides, read the full Factorisation Revision Notes.