Question

Number 19 sorry for all these

Answer 1

`(2x + 4)/(x)`

Option A is the correct option

Explanation:

`\frac{2 {x}^(2) - 10x - 28}{6x} * (6)/(x - 7)`

Factor out 2 from the expression

`\frac{2( {x}^(2) - 5x - 14)}{6x} * (6)/( x - 7)`

Weite -5x as a difference

`\frac{2( {x}^(2) + 2x - 7x - 14)}{x} * (1)/( x - 7)`

Factor out

`(2(x(x + 2) - 7(x + 2)))/(x) * (1)/(x - 7)`

Factor X+2 from the expression

`(2(x + 2)(x - 7))/(x) * (1)/(x - 7)`

Reduce the expression with x-7

`(2(x + 2))/(x)`

Distribute 2 through the parentheses

`(2x + 4)/(x)`

Hope this helps...