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how to expand (1 + ax + x²)^10 ?
EDIT: ok i got it =D
ok the qn was
Given that the expansion of (1 + ax + x²)^10 up to the x² term is given by (1 + 20x + bx² + ...),
i) find the values of a and b.
ii) hence, without using the calculator, find the value of (1.0404)^10, giving your answer to 3 decimal places.
i found tat a = 2, b = 190 for part (i)
how do i do part (ii)?
Given that your answer to part one is right, i.e., a=2,b=190,
then (1 + ax + x²)^10 is also (1 + 2x + x²)^10 ,
so u sub x =0.02 into (1 + 20x + bx² + ...) to get the value of (1.0404)^10... goddit?
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