1.18x^2+4x-15x^2-4+13x
2.2x^2+8-4x+3x-6x^2+7
3.4x^2+8x-11x=6-5x^2+2
I'll do #1 -- the others you can do the same way, and we can check your answers. Just use the distributive property and the commutative properties.
18x^2+4x-15x^2-4+13x
= 18x^2-15x^2 + 4x+13x - 4
= (18-15)x^2 + (4+13)x - 4
= 3x^2 + 17x - 4
To simplify the expressions, let's combine like terms by grouping them together.
1. 1.18x^2 + 4x - 15x^2 - 4 + 13x:
Group the x^2 terms together: (1.18x^2 - 15x^2)
Combine the x terms: (4x + 13x)
Combine the constants: (-4)
Now we have: -13.82x^2 + 17x - 4
2. 2x^2 + 8 - 4x + 3x - 6x^2 + 7:
Group the x^2 terms together: (2x^2 - 6x^2)
Combine the x terms: (-4x + 3x)
Combine the constants: (8 + 7)
Now we have: -4x^2 - x + 15
3. 4x^2 + 8x - 11x = 6 - 5x^2 + 2:
Combine like terms: -x^2 terms: (4x^2 - 5x^2)
Combine x terms: (8x - 11x)
Combine constants: (6 + 2)
Now we have: -x^2 - 3x + 8
Remember, when simplifying expressions, the goal is to combine like terms by adding or subtracting.