Question

What is the simplified form of this expression? (-x2 + x) + (4x2 − x − 1) A. -3x2 + 1 B. 5x2 + 2x − 1 C. 3x2 − 1 D. -5x2 + 2x + 1

Answer 1

C. 3x2 − 1

Explanation:

Use calculator

Evaluate

Answer =3x2 − 1

Answer 2

The simplified form of this expression (-
`x^(2)`+
`x`) + (4
`x^(2)` −
`x` − 1) is 3
`x^(2)` − 1.

Explanation:

• First step for simplifying the equation is to put all the variables with same degree of power at one place:
• So, -
  `x^(2)` + 4
  `x^(2)` +
  `x` -
  `x` - 1

= 3
`x^(2)` − 1.

• We performed the addition and subtraction of the variable's coefficient with same order of power i.e (-1+4)
  `x^(2)` +(1-1)
  `x` -1.
• Finally the equation in the questions is reduced to simpler form as 3
  `x^(2)`-1.
• The easy method to check is, assign any number to value of
  `x` (say
  `x`=2) in question. Now the option that gives the same value as question is our answer.