NCERT · Class 8 · Mathematics · FactorisationFactorise by grouping: $ax + ay + bx + by$
Step-by-Step Solution
To factorise $ax + ay + bx + by$, we group the first two terms and the last two terms: $(ax + ay) + (bx + by)$. Taking $a$ common from the first group and $b$ common from the second group, we get $a(x + y) + b(x + y)$. Now, taking $(x + y)$ common, we get $(x + y)(a + b)$. Therefore, the correct option is $(a + b)(x + y)$.
Detailed Options Breakdown
Option : (a + x)(b + y)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Factorisation.
Option 1: (a + b)(x + y) (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: (a - b)(x + y)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Factorisation.
Option 3: (a + b)(x - y)
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.