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Mathematics
Problem
Factorise each of the following expressions completely. (a)
9
x
2
−
6
x
y
+
y
2
9x^{2}-6xy+y^{2}
9
x
2
−
6
x
y
+
y
2
(b)
27
p
3
+
64
q
3
27p^{3}+64q^{3}
27
p
3
+
64
q
3
(c)
4
a
2
b
2
−
49
b
2
c
2
4a^{2}b^{2}-49b^{2}c^{2}
4
a
2
b
2
−
49
b
2
c
2
(d) Using your answer to part (b), evaluate
27
p
3
+
64
q
3
27p^{3}+64q^{3}
27
p
3
+
64
q
3
when
p
=
2
p=2
p
=
2
and
q
=
1
q=1
q
=
1
.
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