Question

The given expression, calculate as indica (7x^(3)-8x^(2)+4x+9)-(3x^(2)-2x+9)

Answer 1

To calculate the expression (7x^3 - 8x^2 + 4x + 9) - (3x^2 - 2x + 9), you need to perform subtraction of the terms with the same degree of x. Here's how you do it:

(7x^3 - 8x^2 + 4x + 9) - (3x^2 - 2x + 9)

First, distribute the negative sign to all terms inside the parentheses:

= 7x^3 - 8x^2 + 4x + 9 - 3x^2 + 2x - 9

Now, combine like terms. Group the x^3 terms, x^2 terms, x terms, and constants:

(7x^3) - (3x^2) + (-8x^2 + 2x) + (4x) + (-9 + 9)

Now, simplify each group:

= 7x^3 - 3x^2 - 8x^2 + 2x + 4x - 0

Combine like terms again:

= 7x^3 - (3x^2 + 8x^2) + (2x + 4x) - 0

= 7x^3 - 11x^2 + 6x

So, the simplified expression is:

7x^3 - 11x^2 + 6x

Explanation: