Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects

Mathematics

Algebraic identities

बीजीय सर्वसमिकाएँ

In this Class 9 Mathematics topic from “Exploring Algebraic Identities,” students learn how standard algebraic relationships remain true for all permitted values of the variables. They study and apply identities such as (a + b)², (a − b)², and a² − b² to expand expressions, simplify calculations, and factorise algebraic forms. The topic also develops skill in recognising suitable patterns, substituting values to verify results, and using identities to solve expressions efficiently and accurately.

Practice questions

What will be the coefficient of (x) in ( (x+4)(x+6) )?EasyLevel 67Which of the following expressions represents the identity for the difference of two squares?EasyLevel 67What is the middle term in ( (2m+3)^2 )?EasyLevel 67What is the simplified form of ( (4x+3y)^2-(4x-3y)^2 )?HardLevel 65What is obtained by simplifying ( (5a+2b)^2+(5a-2b)^2 )?HardLevel 65In ( (2p+q+r)^2 ), what is the sum of the terms containing (pq) and (pr)?HardLevel 65(9x^2+30xy+25y^2) is the perfect square of what?HardLevel 65Which of the following expressions is a perfect-square trinomial formed by squaring a binomial with terms 5x and 3y, with a negative middle term?HardLevel 65What are the coefficient of (x) and the constant term in ( (x+9)(x-4) )?HardLevel 65Simplify ( (2x+3)^2-(4x^2+9) ).HardLevel 65Which reason correctly identifies \(p^2-10pq+25q^2\) as a perfect-square trinomial?HardLevel 65What is the value of ( (p+q)^2-(p-q)^2-4pq )?HardLevel 65Which of the following expressions cannot be factorised into algebraic factors with real coefficients using the identity for the difference of squares?HardLevel 65What is the value of ( (x+3)(x+7)-(x+4)(x+6) )?HardLevel 65Which is the simplified form of ( (2a+b+c)^2-(4a^2+b^2+c^2) )?HardLevel 65Which term contains (yz) in ( (x+2y+5z)^2 )?HardLevel 65Which of the following expressions correctly represents the expansion of \((a+b)^2\)?HardLevel 65What is the value of ( 997^2 )?HardLevel 65What is the correct value of ( 1004^2-996^2 )?HardLevel 65What is the correct value of ( 205^2 ) using an identity?HardLevel 65