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how to simplyfy

1) 2x^2+8-4x+3x-6x^2+7

2)3x^2+5x-7x+3-5x^2+2

1) Combine like terms: -4x-4x^2+15

2) Combine like terms: -2x^2-2x+5

Did you know?

Did you know that simplifying algebraic expressions can make solving equations much easier? Let's look at two examples. In the first expression, 2x^2 + 8 - 4x + 3x - 6x^2 + 7, we can combine like terms. The terms with x^2, 2x^2 and -6x^2, can be simplified to -4x^2. Similarly, the terms with x, -4x, and 3x, can be reduced to -x. Lastly, the constant terms, 8 and 7, can be added to give 15. The simplified expression is then -4x^2 - x + 15. Now, let's simplify the second expression, 3x^2 + 5x - 7x + 3 - 5x^2 + 2. Again, let's combine like terms. The terms with x^2, 3x^2 and -5x^2, can be simplified to -2x^2. The terms with x, 5x and -7x, can be reduced to -2x. Lastly, the constant terms, 3 and 2, can be added to give 5. So, the simplified expression becomes -2x^2 - 2x + 5. Remember, simplifying algebraic expressions involves combining like terms to make the equations easier to work with.