Respuesta :
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.
