(x^2+6x-10)-(-8x^2-3x)

less than a minute read Jun 17, 2024
(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.

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