Where n is a positive integer. Consider the expansion of

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Where n is a positive integer. Consider the expansion of

Work out the expansions of (ii) (iii)

For relatively small values of n, the full expansion might be required For relatively small values of n, the full expansion might be required. The coefficients are obtained from Pascal’s triangle. The terms are homogeneous The powers of a decrease whilst the powers of b increase.

Example Write down the expansion of Solve the equation

Example Write down the expansion of (i) (ii) And simplify coefficients