Question

what's the error and can you explain why

Answer 1

Answer:

First part.

Explanation:

The first part is wrong. Because when you divide a number by a fraction, you will have convert it to multiply upside-down fraction but not the number that is divided :

$\frac{ {x}^{2} - 4 }{5x} \div \frac{x + 2}{x - 2}$

$= \frac{(x + 2)(x - 2)}{5x} \times \frac{x - 2}{x + 2}$

$= \frac{ {(x - 2)}^{2} }{5x}$

e.g

(1/2)÷5 = (1/2)×(1/5)

= 1/10

e.g

2÷1/4 = 2×4

= 8

(I hope you understand)