6. Find the sum of x? - 2xy + y2 and 9x?+ 6y?+ 10xy
Solve it: (10x² + 3y2 + 4xy) - (3x² + 5y- 3xy)
Answers
Answer:
Question:
Q1. Find the sum of: x - 2xy + y and 9x + 6y + 10xy.
Q2. Solve it: (10x² + 3y + 4xy) - (3x² + 5y- 3xy)
What to find?
In Q1, we have to add the sum of the expressions x - 2xy + y and 9x + 6y + 10xy.
In Q2, we have to subtract the expressions (3x² + 5y- 3xy) from (10x² + 3y + 4xy)
Solution:
Q1. Find the sum of: x - 2xy + y and 9x + 6y + 10xy.
(x - 2xy + y) + (9x + 6y + 10xy)
After removing the brackets,
⇒ x - 2xy + y + 9x + 6y + 10xy
After rearranging the like terms,
⇒ x + 9x - 2xy + 10xy + y + 6y
After solving the like terms,
⇒ 10x + 8xy + 7y
∴ Thus, the answer is 10x + 8xy + 7y.
Q2. Solve it: (10x² + 3y + 4xy) - (3x² + 5y- 3xy)
(10x² + 3y + 4xy) - (3x² + 5y - 3xy)
After removing the brackets,
⇒ 10x² + 3y + 4xy - 3x² - 5y + 3xy
After rearranging the like terms,
⇒ 10x² - 3x² + 3y - 5y + 4xy + 3xy
After solving the like terms,
⇒ 7x² - 2y + 7xy
∴ Thus, the answer is 7x² - 2y + 7xy.