CBSE · Class 8 · Mathematics · FactorisationWhat is the result of dividing $10xy(16x^2 - 9y^2)$ by $5xy(4x + 3y)$?
Step-by-Step Solution
First, factorise $(16x^2 - 9y^2)$ as $(4x - 3y)(4x + 3y)$ using $a^2 - b^2$. The expression to divide is $\frac{10xy(4x - 3y)(4x + 3y)}{5xy(4x + 3y)}$. Canceling $5xy$ and $(4x + 3y)$ leaves $2(4x - 3y)$. Therefore, the correct option is $2(4x - 3y)$.
Detailed Options Breakdown
Option : 2(4x + 3y)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Factorisation.
Option 1: 2(4x - 3y) (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: 5(4x - 3y)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Factorisation.
Option 3: 10(4x - 3y)
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.