A-LevelMathematicsSeries9709/33 · Oct/Nov 2022 · Q25 Marks
Expand √(1 + 2x)/(1 - 2x) in ascending powers of x, up to and including the term in x², simplifying the coefficients.
- Expand √(1 + 2x)/(1 - 2x) in ascending powers of x, up to and including the term in x², simplifying the coefficients.[5]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.
- B1 State a correct unsimplified term in x or x² of the expansion of either (1+2x)^(1/2) or (1-2x)^(-1/2)
- B1 State correct unsimplified expansion of (1+2x)^(1/2) up to the term in x²
- B1 State correct unsimplified expansion of (1-2x)^(-1/2) up to the term in x²
- M1 Obtain sufficient terms of the product of the expansions
- A1 Obtain final answer 1+2x + 2x²
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