Answer:
The simplified form of this expression (- [tex]x^{2}[/tex]+ [tex]x[/tex]) + (4 [tex]x^{2}[/tex] − [tex]x[/tex] − 1) is 3[tex]x^{2}[/tex] − 1.
Step-by-step explanation:
- First step for simplifying the equation is to put all the variables with same degree of power at one place:
- So, - [tex]x^{2}[/tex] + 4[tex]x^{2}[/tex] +[tex]x[/tex] - [tex]x[/tex] - 1
= 3[tex]x^{2}[/tex] − 1.
- We performed the addition and subtraction of the variable's coefficient with same order of power i.e (-1+4) [tex]x^{2}[/tex] +(1-1) [tex]x[/tex] -1.
- Finally the equation in the questions is reduced to simpler form as 3[tex]x^{2}[/tex]-1.
- The easy method to check is, assign any number to value of [tex]x[/tex] (say [tex]x[/tex]=2) in question. Now the option that gives the same value as question is our answer.
