NCERT · Class 8 · Mathematics · FactorisationFactorise the quadratic expression: $l^2 + lm + al + am$
Step-by-Step Solution
To factorise $l^2 + lm + al + am$, group the terms as $(l^2 + lm) + (al + am)$. Take $l$ common from the first group to get $l(l + m)$ and $a$ common from the second group to get $a(l + m)$. The expression becomes $l(l + m) + a(l + m) = (l + m)(l + a)$. Therefore, the correct option is $(l + m)(l + a)$.
Detailed Options Breakdown
Option : (l + m)(l + a) (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: (l - m)(l + a)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Factorisation.
Option 2: (l + m)(l - a)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Factorisation.
Option 3: l(m + a)
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.