Question

Perform the indicated operation to determine if the givensimplification is correct. If it is correct, select TRUE. If it is notcorrect, select FALSE.I + 81I +6+4.22 + 12x + 32I +6

Answer 1

Given:

`(x+8)/(x^2+12x+32)(.)/(\cdot)(x+6)/(x+4)=(1)/(x+6)`

By taking LHS:

`\begin{gathered} (x+8)/(x^2+12x+32)(.)/(\cdot)(x+6)/(x+4)=(x+8)/((x+8)(x+4))*(x+4)/(x+6) \\ (x+8)/(x^2+12x+32)(.)/(\cdot)(x+6)/(x+4)=((x+8)(x+4))/((x+8)(x+4)(x+6)) \\ (x+8)/(x^2+12x+32)(.)/(\cdot)(x+6)/(x+4)=(1)/(x+6) \\ (x+8)/(x^2+12x+32)(.)/(\cdot)(x+6)/(x+4)=\text{ RHS} \end{gathered}`

True