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EXERCISE 8 1. DON'T SIMPLIFY the following. ONLY INDICATE whether or not the result of the product will be a sum or difference of two cubes. (2x+1)(x-2x+1) (x-3)(x +3x+9) (x+3)(x -3x+9) (x-3)(x - 3x+9) (a) (b) (c) (d)

EXERCISE 8 1. DON'T SIMPLIFY the following. ONLY INDICATE whether or not the result of the product will be a sum or difference of two cubes. (2x+1)(x-2x+1) (x-3)(x +3x+9) (x+3)(x -3x+9) (x-3)(x - 3x+9) (a) (b) (c) (d)

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.4: Solving Nonlinear Systems Of Equations
Problem 65E
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EXERCISE 8 1. DON'T SIMPLIFY the following. ONLY INDICATE whether or not the result of the product will be a sum or difference of two cubes. (2x+1)(x-2x+1) (x-3)(x+3x+9) (3x +2y)(x -6xy+4y) (4a- 3b)(16a +12ab +9b) + 60a+9) (10a-3)(100a - (a) (x+3)(x' -3x+9) (x-3)(x - 3x+9) (3x+2y)(x -6xy+4y') (b) (c) (d) (e) (f) (g) (h) Factorise the following x'-1 2. (a) (b) x+1 (c) 64x-y a'b! 8 (d) 125 – 729x (e) (f) 5x +40 x' +216 27 - 216 (g) 8a-64a (h) -x'-27 (i) 8-(a-1) (k) + G) (1) Consider x-64 (a) 3. Factorise the above expression by using the difference of two cubes method first. Factorise the above expression by using the difference of two squares method first. The one seems to factorise further than the other. Why is this so? (b) (c)
Transcribed Image Text:EXERCISE 8 1. DON'T SIMPLIFY the following. ONLY INDICATE whether or not the result of the product will be a sum or difference of two cubes. (2x+1)(x-2x+1) (x-3)(x+3x+9) (3x +2y)(x -6xy+4y) (4a- 3b)(16a +12ab +9b) + 60a+9) (10a-3)(100a - (a) (x+3)(x' -3x+9) (x-3)(x - 3x+9) (3x+2y)(x -6xy+4y') (b) (c) (d) (e) (f) (g) (h) Factorise the following x'-1 2. (a) (b) x+1 (c) 64x-y a'b! 8 (d) 125 – 729x (e) (f) 5x +40 x' +216 27 - 216 (g) 8a-64a (h) -x'-27 (i) 8-(a-1) (k) + G) (1) Consider x-64 (a) 3. Factorise the above expression by using the difference of two cubes method first. Factorise the above expression by using the difference of two squares method first. The one seems to factorise further than the other. Why is this so? (b) (c)
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