| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2015 |
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| Session | June |
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| Topic | Generalised Binomial Theorem |
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| Type | Approximation for small x |
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3 Show that, for small values of \(x ^ { 2 }\),
$$\left( 1 - 2 x ^ { 2 } \right) ^ { - 2 } - \left( 1 + 6 x ^ { 2 } \right) ^ { \frac { 2 } { 3 } } \approx k x ^ { 4 }$$
where the value of the constant \(k\) is to be determined.