NCERT Solutions Class 8 Maths Ganita Prakash Chapter 6 — We Distribute, Yet Things Multiply#

Chapter 6 of Ganita Prakash Part I is about the distributive property and what it gives us: multiplying algebraic expressions term by term, the identities for $(a + b)^2$, $(a - b)^2$ and $(a + b)(a - b)$, and quick ways to multiply and square numbers in your head.

Exercises#

• Figure it Out — Page 142 — A multiplication grid, expanding products, a pattern with $a^n - b^n$ (5 questions)
• Figure it Out — Page 149 — $(a - b)^2$ and $(b - a)^2$, differences of squares, quick squaring (4 questions)
• Figure it Out — Page 154 — Using identities, calendar products, remainders, patterns of tiles (11 questions)

What you will learn#

• Multiplying expressions by distributing every term of one over every term of the other.
• Adding like terms after expanding.
• Using identities to multiply and square numbers quickly.
• Proving number patterns with algebra.

Key formulas and results#

• $(a + b)(c + d) = ac + ad + bc + bd$
• Identity 1A: $(a + b)^2 = a^2 + 2ab + b^2$
• Identity 1B: $(a - b)^2 = a^2 - 2ab + b^2$
• Identity 1C: $(a + b)(a - b) = a^2 - b^2$

Read and revise#

• NCERT Class 8 Maths Chapter 6 (PDF) — the Ganita Prakash Part I chapter itself.
• All Class 8 Maths chapters from Ganita Prakash Part I and Part II.

Frequently asked questions#