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)
Answers
Answer:
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
Step-by-step explanation:
How to find the addition of algebraic expressions using the Column Method?
Write the given expressions.
Place one expression below the other expression with the like terms come in the same column.
Next, add the like terms column-wise with their coefficients.
Finally, fins the resultant expression in the standard form.