NOTABLE PRODUCTS ????TOPICS IN ALGEBRA (MODULE 1)
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NOTABLE PRODUCTS NOTABLE PRODUCTS EASY This is the first video of the TOPICS IN ALGEBRA course. In this video, we have module 1, which deals with 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 Fixation 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 (ab)^2=a^2-2ab+b² 3. The product of the sum and the difference (a+b)(ab)=a^2-b² 4. The cube of the sum (a+b)^3=a^3+3a^2 b+3ab^2+b³ 5. The difference cube (ab)^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. Warring's identities (a+b)(a^2-ab+b²)=a^3+b³ (ab)(a^2+ab+b²)=a^3-b³ EXERCISES - FIXATION 1. Perform the following notable 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⁄xx)² j) (2x+y+3)² k) (a-2b+4)² l) (x+2)^3 m) (2x-5)^3 n) (x + 2 )( (E) ((x^2+2x+1))⁄((x^2-2x+1)) 3. The equality (…+2m^2 )^2=9n^2+⋯+⋯ 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
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