[tex]__________________________[/tex]
= -x² - 2 + 2x² + 1
= x² - 2 + 1
= x² - 1
= (2x² + 3) + (-3 + 4x²)
= 2x² + 3 - 3 + 4x²
= 6x² + 3 - 3
= 6x²
= (2x³ + 3x²) + (-x³ - 8)
= 2x³ + 3x² - x³ - 8
= x³ + 3x² - 8
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Answers & Comments
ADDING AND SUBTRACTING POLYNOMIALS
[tex]__________________________[/tex]
1.) (-x² - 2) + (2x² + 1)
= -x² - 2 + 2x² + 1
= x² - 2 + 1
= x² - 1
2.) (2x² + 3) - (3 - 4x²)
= (2x² + 3) + (-3 + 4x²)
= 2x² + 3 - 3 + 4x²
= 6x² + 3 - 3
= 6x²
3.) (2x³ + 3x²) - (x³ + 8)
= (2x³ + 3x²) + (-x³ - 8)
= 2x³ + 3x² - x³ - 8
= x³ + 3x² - 8