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PIMSO 2022 - Mathematics - Grade 10 / Secondary 4 - National Round Question 29

PIMSO Maths · PIMSO 2022 - Mathematics - Grade 10 / Secondary 4 - National Round

Question 29

What is the value of a+b in the binomial expansion $(ax+by)^{10}$ if the coefficient of the 3rd term of the binomial expansion of $(ax+by)^9$ is 36 and if the coefficient of the 4th term of the binomial expansion of $(ax+by)^9$ is equal to 84?

Use real a,b and order terms by descending powers of x.