Multiply. The quotient of the quantity x minus 5 over the quantity 4 times x plus 8 times the quantity 12 times x squared plus 32 times x plus 16

Answer 1

The expression can be written as:

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

To simplify this expression, first factor out 4 from the denominator:

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

Now, the expression can be written as:

(x - 5) / (4(4x + 8)(3x + 4)(x + 8))

To multiply, we just need to multiply all the factors in the denominator and divide it with the numerator:

= x / (16x^2 + 64x + 32)(3x + 4)

Therefore, the simplified expression after multiplying is x / (16x^2 + 64x + 32)(3x + 4).