Question

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) ​

Answer 1

Answer :

• (a) -4a² + 5ab - 4b²
• (b) 10y²z + 5y² - 3yz + 3
• (c) x³ - 11/3x² + 63/10

Solution :

a. (a² + 4ab - b²) + (-5a² + ab - 3b²)

↦ (1 - 5)a² + (4 + 1)ab + (-1 - 3)b²

↦ -4a² + 5ab - 4b²

b. (6y²z - 5y² + 12) + (4y²z - 3yz -9)

↦ (6 + 4)y²z - 5y² - 3yz + (12 - 9)

↦ 10y²z + 5y² - 3yz + 3

c. (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