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

If only (a^2+b^2+c^2) is written for ( (a+b+c)^2 ), which terms are missing?HardLevel 64Which of the following trinomials can be written as the perfect square of a binomial?HardLevel 64What value is obtained by simplifying ( 51^2+49^2 ) using identity?HardLevel 64What is the value of ( 51^2-49^2 )?HardLevel 64A student claims that if \(a+b+c=12\) and \(ab+bc+ca=35\), then \(a^2+b^2+c^2=74\). Which option about the student’s claim is correct?HardLevel 64What is the simplified form of \( (x-1)(x+1)(x^2+1) \)?HardLevel 64What is the simplified form of \( (2x+3)^2-(2x+1)^2 \)?HardLevel 64What is the simplified form of ( (3x+5)^2-(3x-1)^2 )?HardLevel 64Which of the following expressions can be written as the square of a difference of two terms?HardLevel 64If (a+b+c=10), what is the complete value of ( (a+b+c)^2 )?HardLevel 64Which of the following expressions is a perfect-square trinomial for every a and b?HardLevel 64Which of the following algebraic identities represents the square of the sum of two terms?HardLevel 64Which is the correct factor form of ( x^2+6x+9-y^2 )?HardLevel 64Which of the following trinomials can be written as the square of a binomial?MediumLevel 62What is the simplified form of ( (3a+4b)(3a-4b) )?MediumLevel 62( x^2+12x+36 ) is the perfect square of what?MediumLevel 62Using an identity, what is the value of \( 96\times104 \)?MediumLevel 62Which of the following expressions represents the expansion of \((p-q)^2\)?MediumLevel 62Which of the following expressions represents the square of the sum of \(x\) and \(y\)?EasyLevel 67What is the correct factorisation of (36-x^2)?EasyLevel 67