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Mathematics
Problem
Which algebraic identity would you use first to factorise the expression
x
3
+
8
x^3 + 8
x
3
+
8
? a)
x
3
+
y
3
=
(
x
+
y
)
(
x
2
+
x
y
+
y
2
)
x^3 + y^3 = (x + y)(x^2 + xy + y^2)
x
3
+
y
3
=
(
x
+
y
)
(
x
2
+
x
y
+
y
2
)
b)
x
3
−
y
3
=
(
x
−
y
)
(
x
2
+
x
y
+
y
2
)
x^3 - y^3 = (x - y)(x^2 + xy + y^2)
x
3
−
y
3
=
(
x
−
y
)
(
x
2
+
x
y
+
y
2
)
c)
x
3
+
y
3
=
(
x
+
y
)
(
x
2
−
x
y
+
y
2
)
x^3 + y^3 = (x + y)(x^2 - xy + y^2)
x
3
+
y
3
=
(
x
+
y
)
(
x
2
−
x
y
+
y
2
)
d)
(
x
+
y
)
3
=
x
3
+
3
x
2
y
+
3
x
y
2
+
y
3
(x + y)^3 = x^3 + 3x^2 y + 3xy^2 + y^3
(
x
+
y
)
3
=
x
3
+
3
x
2
y
+
3
x
y
2
+
y
3
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