NCERT · Class 8 · Mathematics · FactorisationDivide $5(2x + 1)(3x + 5)$ by $2(2x + 1)$
Step-by-Step Solution
To perform the division: $\frac{5(2x + 1)(3x + 5)}{2(2x + 1)}$. The common factor $(2x + 1)$ in the numerator and the denominator cancels out, provided $2x + 1 \neq 0$. This leaves $\frac{5(3x + 5)}{2}$. Therefore, the correct option is $\frac{5(3x + 5)}{2}$.
Detailed Options Breakdown
Option : 5(3x + 5)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Factorisation.
Option 1: \frac{5(3x + 5)}{2} (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: \frac{3x + 5}{2}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Factorisation.
Option 3: \frac{5(2x + 1)}{2}
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.