(9x^2-9x-7)-(x^2-6x-2)

less than a minute read Jun 16, 2024

Simplifying the Expression: (9x^2 - 9x - 7) - (x^2 - 6x - 2)

This expression involves subtracting two polynomials. To simplify it, we need to follow the order of operations and distribute the negative sign.

Step 1: Distribute the negative sign

Remember that subtracting a polynomial is the same as adding its opposite.

(9x^2 - 9x - 7) + (-1) (x^2 - 6x - 2)

Now we multiply each term inside the second parenthesis by -1:

(9x^2 - 9x - 7) + (-x^2 + 6x + 2)

Step 2: Combine like terms

Identify terms with the same variable and exponent, then combine their coefficients:

(9x^2 - x^2) + (-9x + 6x) + (-7 + 2)

Step 3: Simplify

8x^2 - 3x - 5

Therefore, the simplified expression is 8x^2 - 3x - 5.