Subtract
(3xexponent4+7xexponent3-2)-(2xexponent2-9x+7)
"3xexponent4" means "3*x*exp(4)"?
(3x^4+7x^3-2)-(2x^2-9x+7)
To subtract the given expression (3x^4 + 7x^3 - 2) - (2x^2 - 9x + 7), we need to combine like terms and simplify. Here's an explanation of the process:
Step 1: Distribute the negative sign to each term in the second expression, which changes the signs of all terms inside the parentheses:
-2x^2 + 9x - 7
Step 2: Combine like terms by adding or subtracting coefficients of terms with the same degree of x:
(3x^4 + 7x^3 - 2) - (2x^2 - 9x + 7)
= 3x^4 + 7x^3 - 2x^2 - 2x^2 + 9x - 9x - 7
= 3x^4 + 7x^3 - 4x^2
The final simplified expression is 3x^4 + 7x^3 - 4x^2.