Question

Please help me
-4g + 2g - g

Answer 1

Given expression;

• -4g + 2g - g

This expression can be solved in multiple ways. I have listed two methods below!

1) Factorization

This method involves factorization as we can see that "g-variable" is common in all terms. Therefore, we can put the expression between parentheses and take out the "g-variable" of the parentheses.

• ⇒ -4g + 2g - g
• ⇒ (-4g + 2g - g)
• ⇒ g(-4 + 2 - 1)

Then, we can simplify the expression inside the parentheses. The number obtained inside the parentheses, will be the coefficient of g.

• ⇒ g(-4 + 2 - 1)
• ⇒ g(2 - 4 - 1)
• ⇒ g(2 - 5)
• ⇒ g(-3)

Note: g(-3) can also be written as -3g.

• ⇒ -3g

2) Repeated addition

This method involves repeated addition, as 4g can be written as "g + g + g + g" and 2g can be written as "g + g". Therefore,

• ⇒ -4g + 2g - g
• ⇒ -(4g) + (2g) - (g)
• ⇒ -(g + g + g + g) + (g + g) - (g)
• ⇒ -g - g - g - g + g + g - g
• ⇒ -g - g - g + g - g
• ⇒ -g - g - g = -3g

In both methods, -3g is the solution.