-(-8x%5E2-3x).jpeg "(x^2+6x-10)-(-8x^2-3x)")
Simplifying the Expression: (x^2 + 6x - 10) - (-8x^2 - 3x)
This expression involves subtracting one polynomial from another. To simplify it, we will use the distributive property and then combine like terms.
Step 1: Distribute the negative sign
Since we are subtracting the second polynomial, we need to distribute the negative sign to each term inside the parentheses:
(x^2 + 6x - 10) + (8x^2 + 3x)
Step 2: Combine like terms
Now we can combine the terms with the same variable and exponent:
- x^2 terms: x^2 + 8x^2 = 9x^2
- x terms: 6x + 3x = 9x
- Constant term: -10
Step 3: Write the simplified expression
Putting it all together, the simplified expression is:
9x^2 + 9x - 10
Therefore, the simplified form of (x^2 + 6x - 10) - (-8x^2 - 3x) is 9x^2 + 9x - 10.