Find the difference
(-x^2+8x-7)-(9x^2-5x-7)
1. Remove the 1st parenthesis.
2. Remove the 2nd parenthesis by multiplying each term by (-1):
-X^2+8X-7 - 9X^2+5X+7.
3. Combine like-terms and get:
-10X^2 + 13X.
To find the difference between two expressions, you simply subtract one expression from the other. In this case, you want to find the difference between (-x^2+8x-7) and (9x^2-5x-7).
Step 1: Distribute the negative sign to the terms inside the first parentheses:
(-x^2 + 8x - 7) - (9x^2 - 5x - 7)
= -x^2 + 8x - 7 - 9x^2 + 5x + 7
Step 2: Combine like terms. In this case, you want to combine the terms with the same variables and exponents:
-1x^2 - 9x^2 + 8x + 5x - 7 + 7
= -10x^2 + 13x
Therefore, the difference between (-x^2+8x-7) and (9x^2-5x-7) is -10x^2 + 13x.