MP Board · Class 8 · Mathematics · FactorisationFactorise the expression: $7x - 42$
Step-by-Step Solution
To factorise $7x - 42$, we look for the highest common factor of the terms $7x$ and $42$. The number $42$ can be written as $7 \times 6$. Thus, the expression becomes $7x - 7 \times 6$. Taking $7$ common, we get $7(x - 6)$. Therefore, the correct option is $7(x - 6)$.
Detailed Options Breakdown
Option : 7(x - 6) (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: 6(x - 7)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Factorisation.
Option 2: 7(x + 6)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Factorisation.
Option 3: x(7 - 42)
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.