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