Question

Find the sum of 8, x, squared, minus, x, plus, 98x² − x⁹ and 8, x, squared, minus, 5, x, plus, 58x² − 5x⁵.

Answer 1

The sum of the given expressions 8x² - x, 98x² - x⁹, and 8x² - 5x + 58x² - 5x⁵ is -x⁹ - 5x⁵ + 172x² - 6x, found by adding coefficients of like powers of x.

Step-by-step explanation:

To find the sum of the given expressions: 8x^2 - x, 98x^2 - x^9, and 8x^2 - 5x + 58x^2 - 5x^5, we need to combine like terms. We start by listing all terms with similar powers of x together:

• x^9: -x^9
• x^5: -5x^5
• x^2: 8x^2 + 98x^2 + 8x^2 + 58x^2
• x: -x - 5x

Next, we simplify by adding the coefficients of like powers:

• x^9: There is only one term, so it remains -x^9
• x^5: There is only one term, so it remains -5x^5
• x^2: (8 + 98 + 8 + 58)x^2 = 172x^2
• x: (-1 - 5)x = -6x

Therefore, the sum of the given expressions is -x^9 - 5x^5 + 172x^2 - 6x.