Buffyyour study buddyHi! Ask me about the distributive law, expanding brackets, like terms, or the algebraic identities.
Buffy is an AI helper and can be wrong — always check your NCERT textbook.
One small rule — multiply each part, then add — runs through all of algebra. It turns 7 × 103 into easy mental maths, expands brackets, and powers the famous identities like (a + b)² = a² + 2ab + b². Tap each idea to see how it works.
Play with it
From the basic law to the identities that save time. Tap each term to see what it means and a quick example.
Learn
Worked example. Use the distributive law to find 25 × 98.
1. Write 98 as 100 − 2.
2. 25 × (100 − 2) = 25×100 − 25×2 = 2500 − 50.
3. = 2450.
Worked example. Expand (x + 5)(x + 3).
1. Multiply each pair: x·x + x·3 + 5·x + 5·3.
2. = x² + 3x + 5x + 15.
3. Combine like terms: x² + 8x + 15.
Worked example. Use an identity to compute 97 × 103.
1. Notice 97 = 100 − 3 and 103 = 100 + 3.
2. Use (a − b)(a + b) = a² − b²: (100 − 3)(100 + 3) = 100² − 3².
3. = 10000 − 9 = 9991.
Where you'll meet it
Splitting a number into easy parts is how people multiply quickly in their heads at the shop: 6 × 99 = 6 × 100 − 6 = 594. The distributive law is the trick behind it.
A field or floor that is built in sections has a total area like x(x + 5). Expanding it to x² + 5x lets you cost materials for the whole plot in one expression.
Every later topic — solving equations, factorising, graphing — leans on expanding and the identities. Master these and the rest of algebra reads much more easily.
Check yourself
Modelled on the competency-based pattern — MCQ, assertion–reason and a case study, testing whether you can use the ideas, not just recall them.
Interactive built to the OpenMAIC approach (THU-MAIC, MIT). Content from the NCERT Class 8 Ganita Prakash textbook (ncert.nic.in).
Buffyyour study buddyBuffy is an AI helper and can be wrong — always check your NCERT textbook.