https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:special-product-binomials/v/difference-of-squares-pattern-for-simple-binomials 2022-10-06T23:01:00.745424633Z Special products of the form (x+a)(x-a) Sal introduces difference of squares expressions. For example, (x+3)(x-3) is expanded as x²-9. video https://cdn.kastatic.org/ka_thumbnails_cache/4397cee2-f57d-4467-b5bc-ad1b283a9787_1280_720_base.png Special products of the form (x+a)(x-a) Sal introduces difference of squares expressions. For example, (x+3)(x-3) is expanded as x²-9. https://cdn.kastatic.org/ka-youtube-converted/JfuisfEdnjk.mp4/JfuisfEdnjk.mp4 294 Algebraic formulae - Expansion of squares https://www.khanacademy.org/math/kn-math-class-9-bridge/x14595f36277e97c8:distribute-and-multiply/x14595f36277e97c8:special-cases-o-distributive-properties/v/squaring-binomials-of-the-form-xa-indian-accent 2025-06-13T13:57:12.417963285Z Squaring binomials of the form (x+a)² Sal expands the perfect square (7x+10)² as 49x^2+140x+100. Skyloom (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Squaring binomials of the form (x+a)² Sal expands the perfect square (7x+10)² as 49x^2+140x+100. https://cdn.kastatic.org/ka-youtube-converted/4wvcU7jl2ko.mp4/4wvcU7jl2ko.mp4 344 Algebraic formulae - Expansion of squares https://www.khanacademy.org/math/mr-class-7/x5270c9989b1e59e6:expansion-of-squares/x5270c9989b1e59e6:polynomials-word-problems/v/polynomial-word-problem-area-of-a-window-indian-accent 2025-06-06T15:33:38.563209632Z Polynomial word problem: area of a window Sal writes a polynomial expression that represents the total area of a window made of wood and glass. Skyloom (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Polynomial word problem: area of a window Sal writes a polynomial expression that represents the total area of a window made of wood and glass. https://cdn.kastatic.org/ka-youtube-converted/NmAvtIU2YrA.mp4/NmAvtIU2YrA.mp4 246 Algebraic formulae - Expansion of squares https://www.khanacademy.org/math/mr-class-7/x5270c9989b1e59e6:expansion-of-squares/x5270c9989b1e59e6:polynomials-word-problems/v/polynomial-word-problem-rectangle-and-circle-area-indian-accent 2025-06-06T15:33:38.563209632Z Polynomial word problem: rectangle and circle area Sal writes a binomial to express the difference between the area of a rectangle and the area of a circle. Skyloom (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Polynomial word problem: rectangle and circle area Sal writes a binomial to express the difference between the area of a rectangle and the area of a circle. https://cdn.kastatic.org/ka-youtube-converted/dhdTG6JZWxE.mp4/dhdTG6JZWxE.mp4 232 Algebraic formulae - Expansion of squares https://www.khanacademy.org/math/revision-mr-class-7-term-2/x34b615b2e8bb343d:week-2-revision-mr-class-7-term-2-math/x34b615b2e8bb343d:factors-of-a-monomial-revision-mr-class-7-term-2-math/v/worked-example-finding-the-missing-monomial-factor 2025-06-06T15:33:38.563209632Z Worked example: finding the missing monomial factor Follow along as Sal works an example to show you how to factor monomials by isolating variables in equations. Learn how to use exponent properties to rewrite complex expressions and get a firm grasp on the crucial role that coefficients and exponents play in this process. This knowledge will empower you to solve for unknown factors in any monomial equation. Kalakrit (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Worked example: finding the missing monomial factor Follow along as Sal works an example to show you how to factor monomials by isolating variables in equations. Learn how to use exponent properties to rewrite complex expressions and get a firm grasp on the crucial role that coefficients and exponents play in this process. This knowledge will empower you to solve for unknown factors in any monomial equation. https://cdn.kastatic.org/ka-youtube-converted/yullyFmsh1c.mp4/yullyFmsh1c.mp4 199 Algebraic formulae - Expansion of squares https://www.khanacademy.org/math/revision-mr-class-7-term-2/x34b615b2e8bb343d:week-3-revision-mr-class-7-term-2-math/x34b615b2e8bb343d:factorisation-using-common-factors-revision-mr-class-7-term-2-math/v/greatest-common-factor-of-monomials-indian-accent 2025-06-06T15:33:38.563209632Z Greatest common factor of monomials Follow along as Sal finds the greatest common factor of 10cd^2 and 25c^3d^2 and discover the secret to finding the greatest common factor of monomials! Dive into prime factorization and variable parts, and learn how to break down monomials into their simplest forms. Uncover the common factors and master the art of algebraic expressions. Kalakrit (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Greatest common factor of monomials Follow along as Sal finds the greatest common factor of 10cd^2 and 25c^3d^2 and discover the secret to finding the greatest common factor of monomials! Dive into prime factorization and variable parts, and learn how to break down monomials into their simplest forms. Uncover the common factors and master the art of algebraic expressions. https://cdn.kastatic.org/ka-youtube-converted/2XsnBRKeQWs.mp4/2XsnBRKeQWs.mp4 194 Algebraic formulae - Expansion of squares 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 Algebraic formulae - Expansion of squares 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 Algebraic formulae - Expansion of squares 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/e/revision-expansion-of-squares 2026-01-28T03:50:33.306290623Z Revision Expansion of squares . Khan Academy exercise