simplfy
(10x^2-6x-x^3)+(9x+x^3+5x^2)
please show all work and steps i have been working on this problem for 10 minutes and still cant figure out how to do it.
You are adding two polynomials. It should not take 10 minutes to do. Multiplying them would take a bit longer to do, but that is not what the problem asks for.
All you have to do when adding polynomials is "collect" the terms with the same exponent of x, and the constants (if any), and add up the different powers of x separately.
You'd get 15x^2 + 3x in this case. The +x^3 and -x^3 terms cancel.
To simplify the expression (10x^2 - 6x - x^3) + (9x + x^3 + 5x^2), you need to combine like terms.
Step 1: Rearrange the terms in the expression so that the terms with the same variable and exponent are next to each other.
(10x^2 + 5x^2) + (-6x + 9x) + (-x^3 + x^3)
Step 2: Perform the operations inside the parentheses first.
15x^2 + 3x + 0
Step 3: Simplify further (if possible).
The simplified expression is 15x^2 + 3x.
Now let me know if you need help with anything else!