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Chapter 4 of 26
Formula Sheet

Special Products And Factorization

NIOS · Class 10 · Maths

All formulas from Special Products And Factorization in NIOS Class 10 Maths. Key equations, constants, and identities for board exam preparation.

45 questions20 flashcards5 concepts

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A square with side length (a+b) divided into smaller squares and rectangles to visually demonstrate that (a+b)² = a² + 2ab + b².
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10 Formulas · 4 Sections

Formulas

Special Product Formulas

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

(a + b)(a - b) = a² - b²

(x + a)(x + b) = x² + (a + b)x + ab

(ax + b)(cx + d) = acx² + (ad + bc)x + bd

Factorization Methods

ax² + bx + c = a(x - r₁)(x - r₂)

HCF and LCM of Polynomials

HCF × LCM = Product of polynomials

Rational Expressions

P/Q + R/S = (PS + QR)/(QS)

(P/Q) × (R/S) = (PR)/(QS)

(P/Q) ÷ (R/S) = (P/Q) × (S/R) = (PS)/(QR)

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Frequently Asked Questions

What are the important topics in Special Products And Factorization for NIOS Class 10 Maths?
Special Products And Factorization covers several key topics that are frequently asked in NIOS Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Special Products And Factorization — NIOS Class 10 Maths?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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