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 6, x, squared, plus, 10, x, minus, 76x 2 +10x−7 and minus, x, squared, minus, 8, x−x 2 −8x.
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:
- 6x^2 + 10x - 7
- -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.
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