Use Factors to simplify \frac{ {8x}^(2) - 12x}{ {4x}^(2) - 12x + 9 }

Question

Use Factors to simplify

`\frac{ {8x}^(2) - 12x}{ {4x}^(2) - 12x + 9 }`

Answer 1

Hi,

Work:


`\frac{8 {x}^(2) - 12x }{4 {x}^(2) - 12x + 9 }`

Factor out 4x from the expression.


`\frac{4x * (2x - 3)}{4 {x}^(2) - 12x + 9 }`

Simplify expression.


`\frac{4x * (2x - 3)}{ {(2x - 3)}^(2) }`

Result:


`(4x)/(2x - 3)`

Hope this helps.
r3t40