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Simplify the expression 8x2 + 5x - 2x2 - 5x.

  1. 6x2 – 10x

  2. 7x2 -10x

  3. 6x2 + 10x

  4. 7x2 +10x

The correct answer is: 7x2 -10x

Simplifying this expression involves combining like terms, or terms that have the same variables raised to the same powers. In this case, we have 8x² and -2x², both with an "x" raised to the second power. When we combine these terms, we get 6x². Additionally, we have 5x and -5x, which are both just "x" without an exponent. When combined, they cancel each other out, leaving us with -10x. Overall, our simplified expression is 7x² - 10x. Options A, C, and D are incorrect because they either have incorrect coefficients or do not account for the cancellation of like terms. Option B is the only one with the correct simplified expression.