Question

Number 19 sorry for all these

Answer 1

Answer:

$\frac{2x + 4}{x}$

Option A is the correct option

Step-by-step explanation:

$\frac{2 {x}^{2} - 10x - 28}{6x} \times \frac{6}{x - 7}$

Factor out 2 from the expression

$\frac{2( {x}^{2} - 5x - 14)}{6x} \times \frac{6}{ x - 7}$

Weite -5x as a difference

$\frac{2( {x}^{2} + 2x - 7x - 14)}{x} \times \frac{1}{ x - 7}$

Factor out

$\frac{2(x(x + 2) - 7(x + 2))}{x} \times \frac{1}{x - 7}$

Factor X+2 from the expression

$\frac{2(x + 2)(x - 7)}{x} \times \frac{1}{x - 7}$

Reduce the expression with x-7

$\frac{2(x + 2)}{x}$

Distribute 2 through the parentheses

$\frac{2x + 4}{x}$

Hope this helps...