Question

HELP with this please!!

Answer 1

`~~~~(12)/(x^2 -49) \cdot (x^2+9x+14)/(9)\\\\\\=(4)/(x^2 -7^2)\cdot (x^2 + 7x +2x +14)/(3)\\\\\\=(4)/((x+7)(x-7)) \cdot (x(x+7)+2(x+7))/(3)\\\\\\=(4)/((x+7)(x-7))\cdot ((x+7)(x+2))/(3)\\\\\\=(4(x+2))/(3(x-7))`

Answer 2

`(4(x + 2))/(3(x - 7))`

Explanation:

Hello!

We can simplify this by factoring, and cross reducing.

Simplify

• 
  `(12)/(x^2 - 49) * (x^2 + 9x + 14)/(9)`
• 
  `(12)/((x+7)(x - 7)) * ((x + 2)(x + 7))/(9)`
• 
  `(12(x + 2))/(9(x - 7))`
• 
  `(4(x + 2))/(3(x - 7))`

The final simplified form is
`(4(x + 2))/(3(x - 7))`