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(x + 1)^3(x - 2)^3 + (x -1)^3(x + 2)^3 = 8(x^2 -2)^3 (HOMC 2015 Q8)
(x + 1)^3(x - 2)^3 + (x -1)^3(x + 2)^3 = 8(x^2 -2)^3 (HOMC 2015 Q8)
Source:
September 7, 2019
algebra
equation
Problem Statement
Solve the equation
(
x
+
1
)
3
(
x
−
2
)
3
+
(
x
−
1
)
3
(
x
+
2
)
3
=
8
(
x
2
−
2
)
3
.
(x + 1)^3(x - 2)^3 + (x -1)^3(x + 2)^3 = 8(x^2 -2)^3.
(
x
+
1
)
3
(
x
−
2
)
3
+
(
x
−
1
)
3
(
x
+
2
)
3
=
8
(
x
2
−
2
)
3
.
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