Question

Which expression is equivalent to 9xº + 12x + 4 12x2 + 5x - 24x² – 272-7 16x2-1

Answer 1

Given data:

The given expression can be wriiten as,

`\begin{gathered} (9x^2+12x+4)/(4x^2-27x-7)/(12x^2+5x-2)/(16x^2-1)=((3x+2)^2)/(4x^2-28x+x-7)/(12x^2+8x-3x-2)/((4x-1)(4x+1)) \\ =((3x+2)(3x+2))/((x-7)(4x+1))/((3x+2)(4x-1))/((4x-1)(4x+1)) \\ =((3x+2)(3x+2))/((x-7)(4x+1))/((3x+2))/((4x+1)) \\ =((3x+2)(3x+2))/((x-7)(4x+1))*((4x+1))/((3x+2)) \\ =(3x+2)/(x-7) \end{gathered}`

Thus, the simplification of the given expression is (3x+2)/(x-7), so option (A) is correct.