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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)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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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