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)
-81
45
8) Multiply using Matrices:
(2x³ + 5x-1) * (x²-x²+x-2)
C
Find, if possible, A + B, A- B, 2A, 2A- B, and B +
A =
5-6
2 3
-4 1
(a) A + B
183
11
(b) A - B
188
↓t
(c) 24
(d) 2A - B
B =
183-
11
11
(e) B+A
11
1 4
-1 5
1 10
A. (If not possible, enter IMPOSSIBLE any single cell.)
Chapter 6 Solutions
ALEKS 360 Access Card (11 weeks) for College Algebra
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