Class 8 · Chapter 6

We Distribute, Yet Things Multiply

Algebraic identities, expansion, and factorisation.

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Ganita Prakash · Class 8 Part 1 (2026-27)
Tip: NCERT updated the syllabus for 2026-27. The links above open the latest edition on the official portal — chapter titles and numbering may differ from the notes shown here.
Detailed theory
Memorise the three main identities. They save time in algebra and problem-solving.
Key concepts & formulas
01
(a+b)2=a2+2ab+b2(a+b)^2 = a^2 + 2ab + b^2
02
(a−b)2=a2−2ab+b2(a-b)^2 = a^2 - 2ab + b^2
03
a2−b2=(a+b)(a−b)a^2 - b^2 = (a+b)(a-b)
04
(x+a)(x+b)=x2+(a+b)x+ab(x+a)(x+b) = x^2 + (a+b)x + ab
05
Common factor method: pull the common factor out.
Gyaan Maths — CBSE Class 6-12, built for board-toppers.
v1.1 · Sept 2026