https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-factor/x2ec2f6f830c9fb89:common-factor/e/factoring-polynomials 2025-02-13T04:57:25.728250847Z Factor polynomials: common factor Practice finding the greatest common factors of polynomials and factoring them out of the polynomials. Tomer Gal exercise https://www.khanacademy.org/math/revision-term-1-mh-math-class-8/x0c43044bb5624863:week-2/x0c43044bb5624863:expansion-formulae/v/perfect-square-factorization-intro-indian-accent 2025-06-04T10:04:13.13703146Z Perfect square factorization intro When an expression has the general form a²+2ab+b², then we can factor it as (a+b)². For example, x²+10x+25 can be factored as (x+5)². This method is based on the pattern (a+b)²=a²+2ab+b², which can be verified by expanding the parentheses in (a+b)(a+b). Kalakrit (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Perfect square factorization intro When an expression has the general form a²+2ab+b², then we can factor it as (a+b)². For example, x²+10x+25 can be factored as (x+5)². This method is based on the pattern (a+b)²=a²+2ab+b², which can be verified by expanding the parentheses in (a+b)(a+b). https://cdn.kastatic.org/ka-youtube-converted/4gTihyG8WAw.mp4/4gTihyG8WAw.mp4 320 Factorisation of Algebraic Expressions Using Identities https://www.khanacademy.org/math/class-9-tg/x06d55bfa213a79fd:polynomials-and-factorisation/x06d55bfa213a79fd:algebraic-identities/v/factoring-difference-of-squares-two-variables-example-2-indian-accent 2025-06-09T18:22:32.943194216Z Factoring difference of squares: two variables (example 2) Sal factors 49x^2-49y^2 as (7x+7y)(7x-7y) or as 49(x+y)(x-y). Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! 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 Kalakrit (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Factoring difference of squares: two variables (example 2) Sal factors 49x^2-49y^2 as (7x+7y)(7x-7y) or as 49(x+y)(x-y). Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! 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 https://cdn.kastatic.org/ka-youtube-converted/t-J3QCBzVcQ.mp4/t-J3QCBzVcQ.mp4 150 Factorisation of Algebraic Expressions Using Identities https://www.khanacademy.org/math/revision-mr-class-7-term-2/x34b615b2e8bb343d:week-3-revision-mr-class-7-term-2-math/x34b615b2e8bb343d:factorisation-using-identities-revision-mr-class-7-term-2-math/v/difference-of-squares-intro-indian-accent 2025-06-06T15:33:38.563209632Z Difference of squares intro When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b). Kalakrit (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Difference of squares intro When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b). https://cdn.kastatic.org/ka-youtube-converted/pVH_36ApmTA.mp4/pVH_36ApmTA.mp4 294 Factorisation of Algebraic Expressions Using Identities https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-perfect-squares/e/factoring-perfect-squares 2025-02-18T07:52:09.551150445Z Perfect squares Factor quadratic expressions of the general perfect square forms: (ax)²+2abx+b² or (ax)²-2abx+b². The factored expressions have the general forms (ax+b)² or (ax-b)². Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-difference-squares/e/factoring_difference_of_squares_2 2025-02-13T04:57:25.728250847Z Difference of squares Factor quadratic expressions of the general difference of squares form: (ax)^2-b^2. The factored expressions have the general form (ax+b)(ax-b). Tomer Gal exercise https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-factor/x2ec2f6f830c9fb89:factor-w-structure/e/factoring_difference_of_squares_3 2026-03-17T04:40:31.334379942Z Factor polynomials using structure Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using special product factorization methods. Tomer Gal exercise https://www.khanacademy.org/math/revision-mh-math-class-8/x4e66a280e3e62582:week-1/x4e66a280e3e62582:expansion-formulae/v/application-of-a-b-c-2-and-related-identities 2025-07-22T10:08:47.702223687Z Application of (a+b+c)^2 and related identities In this video, we’ll break down the formula (a+b+c)2 and understand exactly where it comes from and why it works. Using clear visuals and simple logic, we’ll go through multiple examples to see how it’s applied. We’ll also explore interesting variations like (a+b−c)2 and more, so you get a complete grasp of these identities. Khan Academy video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Application of (a+b+c)^2 and related identities In this video, we’ll break down the formula (a+b+c)2 and understand exactly where it comes from and why it works. Using clear visuals and simple logic, we’ll go through multiple examples to see how it’s applied. We’ll also explore interesting variations like (a+b−c)2 and more, so you get a complete grasp of these identities. https://cdn.kastatic.org/ka-youtube-converted/am3XeaQiJzQ.mp4/am3XeaQiJzQ.mp4 430 Factorisation of Algebraic Expressions Using Identities