EXERCISE 81.DON'T SIMPLIFY the following. ONLY INDICATE whether or not theresult 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 followingx'-12.(a)(b)x+1(c)64x-ya'b!8(d)125 – 729x(e)(f)5x +40x' +21627- 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 twocubes method first.Factorise the above expression by using the difference of twosquares method first.The one seems to factorise further than the other. Why is this so?(b)(c)

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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 & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.9: Properties Of Determinants

Problem 12E

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Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

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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)

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