Multiply x 54x 8 middot 12x2 32x 16 3x 24x 5 x 53x 2

Multiply. x - 5/4x + 8 middot (12x^2 + 32x + 16) (3x + 2)/4(x - 5) (x - 5)(3x + 2)/4 (x - 5)(3x + 2) (x - 5)(12x + 8)

( x- 5) / (4x + 8 ) * ( 12x^2 + 32x + 16 )

factoring 4x + 8 = 4 ( x + 2 )

12x^2 + 32x + 16 = 4 ( 3x^2 + 8x + 4 )

= 4 ( 3x + 2) ( x+2 )

now the expression becomes

( x- 5) / (4x + 8 ) * ( 12x^2 + 32x + 16 ) = (x-5) / 4 ( x+ 2) * 4 ( 3x + 2) ( x+2 )

cancelling out the like terms from top and bottom

( x- 5 ) ( 3x + 2)

3rd option is correct