Question

Складіть суму і різницю многочленів і приведіть до стандартного вигляду 7х²-5х+3 і 7х²-5

Answer 1

Ответ:

$14x^2 - 5x -2\\ -5x+8$

Объяснение:

$(7x^2-5x+3) + (7x^2-5) = 14x^2 - 5x -2\\(7x^2-5x+3) - (7x^2-5) = -5x+8$

Answer 2

Sum and Difference of Polynomials

To find the sum and difference of the given polynomials 7x² - 5x + 3 and 7x² - 5, we can simply add and subtract the corresponding terms.

The sum of the two polynomials is obtained by adding the like terms, and the difference is obtained by subtracting the second polynomial from the first.

Sum of Polynomials

The sum of the given polynomials is: 7x² - 5x + 3 + 7x² - 5

To find the sum, we add the like terms together: 7x² + 7x² - 5x - 5 + 3

Simplifying the sum: 14x² - 5x - 2

Difference of Polynomials

The difference of the given polynomials is: 7x² - 5x + 3 - (7x² - 5)

To find the difference, we subtract the second polynomial from the first: 7x² - 5x + 3 - 7x² + 5

Simplifying the difference: -5x + 8

Therefore, the standard form of the sum of the polynomials is 14x² - 5x - 2, and the standard form of the difference is -5x + 8.