Quadratic Expressions Worksheets Page 8
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36number and algebra
STUDENT C
Which student’s work was correct?
a
Copy each of the incorrect answers into your workbook and correct the mistakes in
b
each as though you were the teacher of these students.
If a = 5 and b = 3, show that (a − b) (a + b) = a
2
− b
2
by evaluating both expressions.
14
If a = 5 and b = 3, show that (a + b)
2
= a
2
+ 2ab + b
2
by evaluating both expressions.
15
Write an expression in factorised and expanded form that is:
16
a quadratic trinomial
the square of a binomial
a
b
the difference of two squares
both
and
.
c
d
a
b
reaSOnIng
Explain the difference between ‘the square of a binomial’ and ‘the difference between
17
two squares’.
a a 1 +
b − 2x b
Show that (a + b) (c + d) = (c + d) (a + b).
18
PrOblem SOlVIng
Expand:
19
2
1
(2x + 3y – 5z)
2
a
b
2x
Find an expanded expression for:
20
the volume of the cuboid
a
(2x – 3) cm
(x – 2) cm
the total surface area of the square-based pyramid.
b
(2x – 1) cm
(2x – 1) cm
(2x + 3) cm
(2x + 3) cm
275
Topic 7 • Quadratic expressions
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