Algebraic Multiplication and Division | Classes 6–8

Algebraic Multiplication and Division

Classes 6–8 | Crash Course | LOT → MOT → HOT

30 Multiple-Choice Questions • Answers • Detailed Explanations

NMMS • Olympiad • MTQ • CBSE • NCERT • TN Board Practice

⭐ Important Algebra Concepts

Multiplication of like terms: Multiply the coefficients and keep the same variable part. Example: 3x × 4x = 12x².
Division of like terms: Divide the coefficients and subtract the exponents. Example: 12x⁵ ÷ 3x² = 4x³.
Exponent rule: aᵐ × aⁿ = aᵐ⁺ⁿ.
Exponent rule: aᵐ ÷ aⁿ = aᵐ⁻ⁿ, when a ≠ 0.
Sign rules: (+)(+) = +, (−)(−) = +, (+)(−) = −, (−)(+) = −.
Distributive property: a(b + c) = ab + ac.
Square identity: (a + b)² = a² + 2ab + b².
Difference of squares: (a + b)(a − b) = a² − b².
Important: When dividing powers with the same base, subtract exponents; do not add them.