Question

Which expression is equal to (screenshot)

Answer 1

D. 6x + 4 / x² + 5x

Explanation:

Dividing a fraction is same as multiplying its inverse.

Therefore,

• (3x + 2)/(4x) × 8/(x + 5)
• (3x + 2)/x × 2/(x + 5)
• 2(3x + 2)/x(x + 5)
• 6x + 4 / x² + 5x
• Option D

Answer 2

`\textsf{D.} \quad (6x+4)/(x^2+5)`

Explanation:

When dividing fractions, multiply the first fraction by the reciprocal of the second fraction:

`\begin{aligned}\left((3x+2)/(4x)\right) / \left((x+5)/(8)\right) & =\left((3x+2)/(4x)\right) * \left((8)/(x+5)\right)\\\\& = ((3x+2) * 8)/(4x * (x+5))\\\\& = (8(3x+2))/(4x(x+5))\\\\& = (2(3x+2))/(x(x+5))\\\\& = (6x+4)/(x^2+5)\\\end{aligned}`