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Find the sum of 6, x, squared, plus, 10, x, minus, 76x 2 +10x−7 and minus, x, squared, minus, 8, x−x 2 −8x.

Question

Find the sum of the following expressions:

6+x2+10x76x2+10x7 6 + x^2 + 10x - 76x^2 + 10x - 7

and

x28x -x^2 - 8x

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Solution

The question seems to be asking for the sum of two algebraic expressions. However, the formatting is a bit confusing. I'll interpret it as follows:

  1. 6x^2 + 10x - 7
  2. -x^2 - 8x

Let's add these two expressions together:

Step 1: Combine like terms.

The "like terms" are terms that have the same variable and exponent. In this case, the like terms are the x^2 terms, the x terms, and the constant terms.

Step 2: Add the x^2 terms together.

6x^2 - x^2 = 5x^2

Step 3: Add the x terms together.

10x - 8x = 2x

Step 4: The constant term in the first expression is -7, and there is no constant term in the second expression. So, the constant term in the sum is -7.

Step 5: Combine the results from steps 2, 3, and 4 to get the sum of the two expressions.

5x^2 + 2x - 7

So, the sum of 6x^2 + 10x - 7 and -x^2 - 8x is 5x^2 + 2x - 7.

This problem has been solved

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