Question

If XZ=8x -18 and RZ = 2x+5, find XR.

Answer 1

XZ = 8x - 18 Eq(1)

RZ = 2x+5 Eq(2)

First, we have to isolate X on Eq(1) and then R on Eq(2)

X= 8x - 18 / Z Eq(1)

R = 2x + 5 / Z Eq(2)

Then, multiply X by R:

`\begin{gathered} (8x-18)/(Z)\cdot(2x+5)/(Z) \\ ((8x-18)\cdot(2x+5))/(Z^2)\text{ (Multiplying fractions)} \\ (16x^2+40x-36x-90)/(Z^2)\text{ (Multiplying polynomials}) \\ (16x^2+4x-90)/(Z^2)\text{ (Operating like terms}) \\ \text{ Final Answer: XR=}(16x^2+4x-90)/(Z^2) \end{gathered}`