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Question
The product of two numbers-is 16x4 – 1. If one number is 2x – 1, find the other.
Solution
Product of two numbers = 16x4 − 1
One number = 2x − 1
Then the second number =`(16"x"^4-1)/(2"x"-1)`
= 8x3 + 4x2 + 2x + 1
`2"x"-1)overline(16"x"^4 -1)(8"x"^3+4"x"^2+2"x"+1`
16x4 − 8x3
− +
8x3
8x3 − 4x2
− +
4x2
4x2 − 2x
− +
2x − 1
2x − 1
− +
×
∴ Other side = 8x3 + 4x2 + 2x + 1
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