This resource can be used to quickly introduce the method for expanding expressions of the form (1+ax)^n where n is a positive integer.
It begins by showing expansions of (1+x)^n for small values of n and highlights the coefficients to introduce Pascal's triangle. It then shows how nCr can be used to find the required coefficients in the expansions and has a few expansions of the form (1+x)^n for students to complete.
Next is a worked example expanding (1-x)^n to introduce the technique and the pattern of the signs of the terms in the expansion, followed by a few expansions of the form (1-x)^n for students to complete.
Next is a worked example expanding (1+ax)^n to introduce the technique and the best way to set out the working, followed by a few expansions of the form (1+ax)^n for students to complete.
The answers to all the expansions are included.
It begins by showing expansions of (1+x)^n for small values of n and highlights the coefficients to introduce Pascal's triangle. It then shows how nCr can be used to find the required coefficients in the expansions and has a few expansions of the form (1+x)^n for students to complete.
Next is a worked example expanding (1-x)^n to introduce the technique and the pattern of the signs of the terms in the expansion, followed by a few expansions of the form (1-x)^n for students to complete.
Next is a worked example expanding (1+ax)^n to introduce the technique and the best way to set out the working, followed by a few expansions of the form (1+ax)^n for students to complete.
The answers to all the expansions are included.
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