Simplify (9x2−6x+2)−(x2+4x−39)
.(1 point)
To simplify the expression, we can distribute the negative sign to the terms inside the second parentheses:
(9x^2 - 6x + 2) - (x^2 + 4x - 39) = 9x^2 - 6x + 2 - x^2 - 4x + 39
Combining like terms, we get:
= (9x^2 - x^2) + (- 6x - 4x) + (2 + 39)
= 8x^2 - 10x + 41
So, (9x^2 - 6x + 2) - (x^2 + 4x - 39) simplifies to 8x^2 - 10x + 41.
Simplify (14x2−3x+2.25)+(0.75x2+2x−14)
.(1 point)
To simplify the expression, we can combine like terms:
(14x^2 - 3x + 2.25) + (0.75x^2 + 2x - 14)
Combining like terms, we get:
= (14x^2 + 0.75x^2) + (-3x + 2x) + (2.25 - 14)
= 14.75x^2 - x - 11.75
So, (14x^2 - 3x + 2.25) + (0.75x^2 + 2x - 14) simplifies to 14.75x^2 - x - 11.75.
To simplify the expression (9x^2 - 6x + 2) - (x^2 + 4x - 39), we need to combine like terms.
First, distribute the negative sign to each term inside the parentheses on the right side:
(9x^2 - 6x + 2) - x^2 - 4x + 39
Now let's gather the like terms. We have x^2 terms, x terms, and constant terms.
x^2 terms: 9x^2 - x^2 = 8x^2
x terms: -6x - 4x = -10x
constant terms: 2 + 39 = 41
Combining the like terms, the simplified expression is:
8x^2 - 10x + 41