Part A
Explain the steps you would take to simplify this expression using the order of operations.
(4x² + 8x + 15) + (2² - x − 27) - (x + 5)(x − 7)

Respuesta :

The simplified expression of (4x² + 8x + 15) + (2x² - x − 27) - (x + 5)(x − 7) is x² + 9x  + 23

How to explain the steps you would take to simplify this expression using the order of operations?

The expression is given as:

(4x² + 8x + 15) + (2x² - x − 27) - (x + 5)(x − 7)

Evaluate the product

(4x² + 8x + 15) + (2x² - x − 27) - (x² - 2x - 35)

Remove the brackets

4x² + 8x + 15 + 2x² - x − 27 - x² + 2x + 35

Collect the like terms

4x² + 2x² - x² + 2x  + 8x - x  + 15 − 27 + 35

Evaluate the like terms

x² + 9x  + 23

Hence, the simplified expression of (4x² + 8x + 15) + (2x² - x − 27) - (x + 5)(x − 7) is x² + 9x  + 23

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