https://www.khanacademy.org/math/ncert-math-class-9-new/x56891bfac37feca0:exploring-algebraic-identities/x56891bfac37feca0:visualising-identities/v/what-is-an-identity 2026-03-22T06:53:37.482695608Z What is an Identity? In this video, we explore the concept of an identity in algebra. We begin by examining different types of equations and learn how to identify whether an equation is an identity — that is, an equation that holds true for all values of the variable. Through simple examples and comparisons, we highlight the difference between regular equations and identities, helping students understand when an equation is universally true. Khan Academy video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw What is an Identity? In this video, we explore the concept of an identity in algebra. We begin by examining different types of equations and learn how to identify whether an equation is an identity — that is, an equation that holds true for all values of the variable. Through simple examples and comparisons, we highlight the difference between regular equations and identities, helping students understand when an equation is universally true. https://cdn.kastatic.org/ka-youtube-converted/aW_ZBcqjczg.mp4/aW_ZBcqjczg.mp4 327 Visualising Identities https://www.khanacademy.org/math/mr-class-7/x5270c9989b1e59e6:expansion-of-squares/x5270c9989b1e59e6:standard-identities/v/geometrical-verification-of-a-b-2-a-2-2ab-b-2 2025-10-27T11:00:46.958143659Z Geometrical Verification of (a + b)^2=a^2+2ab+b^2 Unlock the beauty of algebra through geometry in this engaging video on the identity (a + b)^2 = a^2 +2ab +b^2. Watch as we break down this classic formula using a clear and intuitive geometrical proof, making abstract math feel visual and concrete. We also verify the identity by plugging in random values for a and b, showing how the equation holds true across different scenarios. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now!Unit link 00:00 Geometrical proof of Identity 03:36 Verification by taking values for a and b Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Khan Academy Khan Academy video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Geometrical Verification of (a + b)^2=a^2+2ab+b^2 Unlock the beauty of algebra through geometry in this engaging video on the identity (a + b)^2 = a^2 +2ab +b^2. Watch as we break down this classic formula using a clear and intuitive geometrical proof, making abstract math feel visual and concrete. We also verify the identity by plugging in random values for a and b, showing how the equation holds true across different scenarios. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now!Unit link 00:00 Geometrical proof of Identity 03:36 Verification by taking values for a and b Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Khan Academy https://cdn.kastatic.org/ka-youtube-converted/Ll1aHMrj1V8.mp4/Ll1aHMrj1V8.mp4 328 Visualising Identities https://www.khanacademy.org/math/mr-class-7/x5270c9989b1e59e6:expansion-of-squares/x5270c9989b1e59e6:standard-identities/v/geometrical-verification-a-b-2-a-2-2ab-b-2 2025-10-27T11:00:46.958143659Z Geometrical Verification(a – b)^2=a^2-2ab+b^2 Unlock the beauty of algebra through geometry in this engaging video on the identity (a – b)^2 = a^2 -2ab +b^2. Watch as we break down this classic formula using a clear and intuitive geometrical proof, making abstract math feel visual and concrete. We also verify the identity by plugging in random values for a and b, showing how the equation holds true across different scenarios. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now!Unit link 00:00 Geometrical proof of Identity 04:20 Verification by taking values for a and b Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Khan Academy Khan Academy video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Geometrical Verification(a – b)^2=a^2-2ab+b^2 Unlock the beauty of algebra through geometry in this engaging video on the identity (a – b)^2 = a^2 -2ab +b^2. Watch as we break down this classic formula using a clear and intuitive geometrical proof, making abstract math feel visual and concrete. We also verify the identity by plugging in random values for a and b, showing how the equation holds true across different scenarios. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now!Unit link 00:00 Geometrical proof of Identity 04:20 Verification by taking values for a and b Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Khan Academy https://cdn.kastatic.org/ka-youtube-converted/2eQhbM-368A.mp4/2eQhbM-368A.mp4 364 Visualising Identities https://www.khanacademy.org/math/mr-class-7/x5270c9989b1e59e6:expansion-of-squares/x5270c9989b1e59e6:standard-identities/v/geometrical-verification-a-b-a-b-a-2b-2 2025-10-27T11:00:46.958143659Z Geometrical Verification (a + b)(a – b)=a^2−b^2 Unlock the beauty of algebra through geometry in this engaging video on the identity (a+b)(a−b)= a^2 - b^2. Watch as we break down this classic formula using a clear and intuitive geometrical proof, making abstract math feel visual and concrete. We also verify the identity by plugging in random values for a and b, showing how the equation holds true across different scenarios. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now!Unit link 00:00 Geometrical proof of Identity 03:13 Verification by taking values for a and b Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Khan Academy Khan Academy video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Geometrical Verification (a + b)(a – b)=a^2−b^2 Unlock the beauty of algebra through geometry in this engaging video on the identity (a+b)(a−b)= a^2 - b^2. Watch as we break down this classic formula using a clear and intuitive geometrical proof, making abstract math feel visual and concrete. We also verify the identity by plugging in random values for a and b, showing how the equation holds true across different scenarios. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now!Unit link 00:00 Geometrical proof of Identity 03:13 Verification by taking values for a and b Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Khan Academy https://cdn.kastatic.org/ka-youtube-converted/zwaQoTB2FoQ.mp4/zwaQoTB2FoQ.mp4 285 Visualising Identities https://www.khanacademy.org/math/ncert-math-class-9-new/x56891bfac37feca0:exploring-algebraic-identities/x56891bfac37feca0:visualising-identities/e/geometrical-verification-of-the-identities 2026-04-01T11:22:03.854324241Z Geometrical Verification of the Identities In this exercise we will solve the question involving geometrical verification of the identities. Khan Academy exercise