Question

add X2 + y2 + 3x y -6 and add X 2 ² - 4y - xy +5​

Answer 1

Given:

• First expression:- x² + y² + 3xy - 6
• Second expression:- x² - 4y - xy + 5

What To Do:

We have to find the sum of the expressions.

Solution:

(x² + y² + 3xy - 6) + (x² - 4y - xy + 5)

Remove the brackets,

⇒ x² + y² + 3xy - 6 + x² - 4y - xy + 5

Rearrange the like terms,

⇒ x² + x² + y² - 4y + 3xy - xy - 6 + 5

Solve the 1st like terms,

⇒ 2x² + y² - 4y + 3xy - xy - 6 + 5

Solve the 2nd like terms,

⇒ 2x² + y² - 4y + 3xy - xy - 6 + 5

Solve the 3rd like terms,

⇒ 2x² + y² - 4y + 3xy - xy - 6 + 5

Solve the 4th like terms,

⇒ 2x² + y² - 4y + 2xy - 6 + 5

Solve the 5th like terms,

⇒ 2x² + y² - 4y + 2xy - 1

Final Answer:

2x² + y² - 4y + 2xy - 1

Answer 2

Step-by-step explanation:

Given:

First expression:- x² + y² + 3xy - 6

Second expression:- x² - 4y - xy + 5

What To Do:

We have to find the sum of the expressions.

Solution:

(x² + y² + 3xy - 6) + (x² - 4y - xy + 5)

Remove the brackets,

⇒ x² + y² + 3xy - 6 + x² - 4y - xy + 5

Rearrange the like terms,

⇒ x² + x² + y² - 4y + 3xy - xy - 6 + 5

Solve the 1st like terms,

⇒ 2x² + y² - 4y + 3xy - xy - 6 + 5

Solve the 2nd like terms,

⇒ 2x² + y² - 4y + 3xy - xy - 6 + 5

Solve the 3rd like terms,

⇒ 2x² + y² - 4y + 3xy - xy - 6 + 5

Solve the 4th like terms,

⇒ 2x² + y² - 4y + 2xy - 6 + 5

Solve the 5th like terms,

⇒ 2x² + y² - 4y + 2xy - 1

Final Answer:

2x² + y² - 4y + 2xy - 1