What is the sum of x³ + 5x²-7 and
5x²-3x²+2x-1?
Danielle's Work:
(x³ + 5x² - 7) + (5x³ - 3x² + 2x - 1)
x³ + 5x³+5x²-3x²+2x-7-1
6x + 2x + 2x-8
Danielle's Mistake:
Correct Work:
What should she do in the future to
prevent this error?

Respuesta :

To avoid error, we must focus on the exponent part and the like terms. Correct Work: 6x³ + 4x-  8

What is addition?

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

We have to find the sum of x³ + 5x²-7 and 5x²-3x²+2x-1

Danielle's Work:

(x³ + 5x² - 7) + (5x³ - 3x² + 2x - 1)

x³ + 5x³+5x²-3x²+2x-7-1

6x + 2x + 2x-  8

Danielle's Mistake:

In the last step the first term has cubic power.

We can solve it further as the like terms are present in the solution.

Correct Work:

6x³ + 2x + 2x-  8

6x³ + 4x-  8

To avoid error, we must focus on the exponent part and the like terms.

Learn more about equations;

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