CBSE · Class 9 · Mathematics · PolynomialsFactorize 4x^2 - 9y^2 using an appropriate identity.
Step-by-Step Solution
Using the identity a^2 - b^2 = (a - b)(a + b), we can write 4x^2 - 9y^2 as (2x)^2 - (3y)^2. This expands to (2x - 3y)(2x + 3y).
Detailed Options Breakdown
Option : (2x - 3y)(2x - 3y)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Polynomials.
Option 1: (2x + 3y)(2x + 3y)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Polynomials.
Option 2: (2x - 3y)(2x + 3y) (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: (4x - 9y)(x + y)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Polynomials.
💡 Study Guide: This question tests core syllabus concepts from Polynomials. For formulas, key summaries, and mock exam reference guides, read the full Polynomials Revision Notes.