Question

1) add- x^2,2x^2,-6x^2
2) add- 3x^2y^2-4xy+5 and 2x^2y^2 + 3xy-7​

Answer 1

First Answer:-

Given:

• x²
• 2x²
• -6x²

What To Find:

The sum of the given expressions.

Solution:

(x²) + (2x²) + (-6x²)

Remove the brackets,

⇒ x² + 2x² - 6x²

Solve the like terms,

⇒ -3x²

Final Answer:

Thus, the sum of the expression is -3x².

Second Answer:

Given:

• 3x²
• y² - 4xy + 5
• 2x²
• 2y² + 3xy - 7

What To Find:

The sum of the given expressions.

Solution:

(3x²) + (y² - 4xy + 5) + (2x²) + (2y² + 3xy - 7)

Remove the brackets,

⇒ 3x² + y² - 4xy + 5 + 2x² + 2y² + 3xy - 7

Rearrange the like terms,

⇒ 3x² + 2x² + y² + 2y² - 4xy + 3xy + 5 - 7

Solve the like terms,

⇒ 5x² + 3y² - xy - 2

Final Answer:

Thus, the sum of the expression is 5x² + 3y² - xy - 2.

Answer 2

Step-by-step explanation:

First Answer:-

Given:

x²

2x²

-6x²

What To Find:

The sum of the given expressions.

Solution:

(x²) + (2x²) + (-6x²)

Remove the brackets,

⇒ x² + 2x² - 6x²

Solve the like terms,

⇒ -3x²

Final Answer:

Thus, the sum of the expression is -3x².

Second Answer:

Given:

3x²

y² - 4xy + 5

2x²

2y² + 3xy - 7

What To Find:

The sum of the given expressions.

Solution:

(3x²) + (y² - 4xy + 5) + (2x²) + (2y² + 3xy - 7)

Remove the brackets,

⇒ 3x² + y² - 4xy + 5 + 2x² + 2y² + 3xy - 7

Rearrange the like terms,

⇒ 3x² + 2x² + y² + 2y² - 4xy + 3xy + 5 - 7

Solve the like terms,

⇒ 5x² + 3y² - xy - 2

Final Answer:

Thus, the sum of the expression is 5x² + 3y² - xy - 2.