2. Add the following algebraic expressions. a) (a² + 4ab - b²) and (-5a² + ab - 3b²) b) (6y²z- 5y² + 12) and ( 4y²z - 3yz -9) c) (x³ - 4x² + 1/2x + 5), ( 2/3x² - 1/3x + 4/5) and ( -1/3x² + x + 5/2)
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a) (a² + 4ab - b²) and (-5a² + ab - 3b²)
⇒ (a² + 4ab - b²) + (-5a² + ab - 3b²)
⇒ a² + 4ab - b² - 5a² + ab - 3b²
⇒ -4a² + 5ab - 4b²
b) (6y²z- 5y² + 12) and ( 4y²z - 3yz -9)
⇒ (6y²z - 5y² + 12) + (4y²z - 3yz -9)
⇒ 6y²z - 5y² + 12 + 4y²z - 3yz - 9
⇒ 10y²z + 5y² - 3yz + 3
c) (x³ - 4x² + 1/2x + 5), ( 2/3x² - 1/3x + 4/5) and ( -1/3x² + x + 5/2)
⇒ (x³ - 4x² + 1/2x + 5) + (2/3x² - 1/3x + 4/5) + ( -1/3x² + x + 5/2)
⇒ (x³ - 4x² + 1/2x + 5 + 2/3x² - 1/3x + 4/5 - 1/3x² + x + 5/2)
⇒ x³ + (-4 + 2/3 - 1/3)x² + (1/2 - 1/3 + 1)x + (5 + 4/5 + 5/2)
⇒ x³ - 11/3x² + 63/10
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