Question

Write two rational expressions whose quotient is x-2/x+4​

Answer 1

x²+3x-2/x

Use the commutative property to re - order the terms

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Answer 2

Given:

quotient is   $\frac{x-2}{x+4}$

Find two rational expressions

So for rational expression, first multiply the given expression by 2

$\frac{(x - 2)\times 2}{(x + 4)\times 2}\\\\=\frac{2x - 4}{2x +8}$

Now multiply the given expression by 3

$\frac{(x -2)\times 3}{(x+4)\times3}\\\\=\frac{3x -6}{3x+ 12}$

So we get two rational expressions

Hence $\frac{2x-4}{2x+8} and \frac{3x -6}{3x+ 12}$ two rational expressions whose quotient is x-2/x+4​