Find GH – JH – JK – LK – GL

Select one:

GL

LG

GG

JG

GL

To find GH - JH - JK - LK - GL, we need to follow the order of operations, which is usually represented by the acronym "PEMDAS" (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction) or "BODMAS" (Brackets, Orders, Division and Multiplication, and Addition and Subtraction).

Let's break it down step by step:

1. GH – JH - JK - LK - GL

2. Rearrange the terms:

GH - JH - JK - LK = (GH - JH) - (JK - LK)

3. Perform the subtractions within the parentheses:

(GH - JH) - (JK - LK) = GH - JH - JK + LK

4. Now, subtract GL from the last expression:

GH - JH - JK + LK - GL

The correct option is JG.

To find GH – JH – JK – LK – GL, we need to subtract each of these terms from each other.

First, let's find GH – JH:
GH – JH = (G – J)H

Next, let's find (G – J)H – JK:
(G – J)H – JK = (G – J)H – (J – K)

Now, let's find (G – J)H – (J – K) – LK:
(G – J)H – (J – K) – LK = (G – J)H – (J – K – LK)

Finally, let's find (G – J)H – (J – K – LK) – GL:
(G – J)H – (J – K – LK) – GL = (G – J)H – (J – K – LK – GL)

Now, let's evaluate (J – K – LK – GL) to determine the sign of the result:
Given the options (GL, LG, GG, JG), we can see that (J – K – LK – GL) is negative.

Therefore, the correct answer is GG.