PRODUTOS NOTÁVEIS 🔺TÓPICOS EM ÁLGEBRA (MÓDULO 1)

REMARKABLE PRODUCTS REMARKABLE PRODUCTS EASY This is the first video in the TOPICS IN ALGEBRA course. In this video, we have module 1, which covers 1. The square of the sum 2. The square of the difference 3. The product of the sum and the difference 4. The cube of the sum 5. The cube of the difference 6. Stevin's product 7. The square of the trinomial 8. Warring's identities Download the PDF of this lesson here: Theory and Practice Exercises: https://drive.google.com/open?id=1wtB... Answer Key: https://drive.google.com/open?id=12jr... THEORETICAL SUMMARY 1. The square of the sum (a+b)^2=a^2+2ab+b² 2. The square of the Difference (a-b)^2=a^2-2ab+b² 3. The Product of the Sum and the Difference (a+b)(a-b)=a^2-b² 4. The Cube of the Sum (a+b)^3=a^3+3a^2 b+3ab^2+b³ 5. The Cube of the Difference (a-b)^3=a^3-3a^2 b+3ab^2-b³ 6. Stevin's Product (x+a)(x+b)=x^2+(a+b)x+ab 7. The Square of the Trinomial (a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc 8. The Identities of Warring (a+b)(a^2-ab+b²)=a^3+b³ (a-b)(a^2+ab+b²)=a^3-b³ EXERCISES - REVIEW 1. Perform the following remarkable products: a) (2x+5)^2 b) (x²+3)^2 c) (3y^3-5)^2 d) (m^3-2n)^2 e) (2x-y)(2x+y) f) (x^2+1)(x^2-1) g) (x+3)(x+5) h) (y+2)(y-6) i) (1⁄x-x)² j) (2x+y+3)² k) (a-2b+4)² l) (x+2)^3 m) (2x-5)^3 n) (x+2)(x^2-2x+4) o) (2y-3)(〖4y〗^2+6y+9) 2. The value of E= ((x+1)/(x-1))^2 It is located at: (A) ((x^2+2x+1))⁄((x-1)) (B) (x^2+1)/(x^2-1) (C)-1 (D) 1 (E) ((x^2+2x+1))⁄((x^2-2x+1)) 3. Equality (…+2m^2 )^2=9n^2+⋯+⋯ It is completed, respectively, with the terms: (A) 3n^2.12nm and 4m^2 (B) 3n,12nm and 4m^2 (C) 3n,12nm^2 and 4m^4 (D) 3n,12nm^2 and 2m^4 (E) 3n,12nm^2 and 2m^4 4. (a²+4b)² is equivalent to (A) a^4+4b² (B) a^4+16b² (C) a^4+2ab+4b² (D) a^4+8a^2 b+4b² (E) a^4+8a^2 b+16b² 5. The value of 1301.1299 is found in: (A) 1300² - 1299² (B) 1300² -1 (C) 1299² +1 (D) 2599² (E) 2599³