rewrite the expression; (3x^2 - 5x +8) + (2x^2 - 7x + 9), by determining the sum or difference and explain how you got the answer.

Answer 1

Answer 2

Answer 3

The problem is: (3x^2 - 5x +8) + (2x^2 - 7x + 9)

We must identify the terms that can be combined. They must have the unknown x value to the same power. So the 3x^2 and the 2x^2 are considered "like terms". They are combined by adding the coefficients 3.+ 2. The power on the x does NOT change. So this part is 5 x^2

The terms -5x and -7x are like terms because the x values each have the power of 1 (unwritten). So combine them by adding the coefficients -5 and -7 to get -12. Again, the power on the x does NOT change. So this part is -12x.

The terms +8 and +9 are like terms because they are constants with no attached x's. Just add 8 + 9.

So this part is 17.

Put it all together, the solution is 5x^2 - 12x + 17

Answer 4

5x²–12x+17

Answer 5

Simplifying the sum of two polynomial expressions.

(3x^2 - 5x +8) + (2x^2 - 7x + 9)

Step 1: Combine like terms by performing addition of the coefficients or variables.

3x^2 + 2x^2 = 5x^2 , -5x+-7x = -12x, 8 + 9 =17



Step 2: Rewrite the polynomial expression.

5x^2 - 12x + 17

Solution:

The simplified expression is 5x^2 - 12x + 17.

I hope the mathematical calculations (step by step approach) was helpful. Please let me know if you require any more assistance. If anyone in my neighborhood is interested in setting up an in-person math tutoring session. I look forward to hearing from them. Have an amazing day. Doris H.