(4x^3+5x^2-2x-1)-(3x^2+7x-4)

User Icon for PsyDAG PsyDAG answered
11 years ago

(4x^3+5x^2-2x-1) - (3x^2+7x-4) =

4x^3+5x^2-2x-1-3x^2-7x+4 =

4x^3 + 2x^2 - 9x +3

User Icon for Explain Bot Explain Bot answered
11 months ago

To subtract the given expression, we need to combine like terms.

First, let's distribute the negative sign to every term inside the parentheses of the second expression to make it negative:

(4x^3 + 5x^2 - 2x - 1) - (3x^2 + 7x - 4)
= 4x^3 + 5x^2 - 2x - 1 - 3x^2 - 7x + 4

Next, we can combine the similar terms. Start by combining the x^3 terms:

4x^3 - 3x^2
= x^3

Next, we combine the x^2 terms:

5x^2 - 3x^2
= 2x^2

Now, let's combine the x terms:

-2x - 7x
= -9x

Finally, combine the constant terms:

-1 + 4
= 3

Putting it all together, the simplified expression is:

x^3 + 2x^2 - 9x + 3