MP Board · Class 8 · Mathematics · FactorisationWhat is the factorization of $25 - 4x^2$?
Step-by-Step Solution
The expression $25 - 4x^2$ can be written as $5^2 - (2x)^2$. Using the identity $a^2 - b^2 = (a - b)(a + b)$, where $a = 5$ and $b = 2x$, we get $(5 - 2x)(5 + 2x)$. Therefore, the correct option is $(5 - 2x)(5 + 2x)$.
Detailed Options Breakdown
Option : (5 - 2x)(5 - 2x)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Factorisation.
Option 1: (5 + 2x)(5 + 2x)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Factorisation.
Option 2: (5 - 2x)(5 + 2x) (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: (25 - 2x)(1 + 2x)
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.