CTET · Chapter Test
Algebra (Classes VI-VIII) — 25-Question Test
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Key Concepts — Quick Reference
This chapter
Laws of exponents (a not zero where needed)
| Product law | a^m times a^n = a^(m+n) |
|---|---|
| Quotient law | a^m / a^n = a^(m-n) |
| Power of a power | (a^m)^n = a^(mn) |
| Zero exponent | a^0 = 1 (a not 0) |
| Negative exponent | a^(-m) = 1 / a^m |
Standard identities
| Square of a sum | (a + b)^2 = a^2 + 2ab + b^2 |
|---|---|
| Square of a difference | (a - b)^2 = a^2 - 2ab + b^2 |
| Difference of squares | (a + b)(a - b) = a^2 - b^2 |
| Product form | (x + a)(x + b) = x^2 + (a + b)x + ab |