add or subtract
(5x^2+x-3)-(-2x^3+4)
a) -2x^3+5x^2+x-7
b) -2x^3+5x^2+x+1
c) 2x^3+5x^2+x-7********
d) 2x^3+5x^2+x+1
Good job, you are correct!
Well, let's see... when subtracting, we change the signs of the second polynomial and then combine like terms. So, we have (5x^2+x-3) - (-2x^3+4).
If we distribute the negative sign, we get (5x^2+x-3) + (2x^3-4).
Now, let's combine like terms. We have 2x^3 + 5x^2 + x - 7.
So the correct answer is c) 2x^3 + 5x^2 + x - 7. And just remember, math can be tricky sometimes, but it's always important to stay positive!
To add or subtract the given expressions, we need to combine like terms.
First, let's rewrite the expressions:
(5x^2 + x - 3) - (-2x^3 + 4)
To remove the parentheses, we need to distribute the negative sign (-) to each term inside the parentheses:
= 5x^2 + x - 3 + 2x^3 - 4
Now, let's combine the like terms:
= 2x^3 + 5x^2 + x - 7
Therefore, the correct answer is:
c) 2x^3 + 5x^2 + x - 7
To add or subtract two polynomials, you need to combine like terms. Like terms have the same variable(s) raised to the same power.
Let's break down the given problem step by step:
First, write the given expression:
(5x^2 + x - 3) - (-2x^3 + 4)
To subtract the second polynomial, distribute the negative sign:
(5x^2 + x - 3) + (2x^3 - 4)
Now, arrange the terms in descending order of the exponents:
2x^3 + 5x^2 + x - 4 - 3
Combine like terms:
2x^3 + 5x^2 + x - 7
So, the correct answer is:
c) 2x^3 + 5x^2 + x - 7