from the sum of 2x² + 3xy, -xy -y², subtract the sum of 3x -y² and -x² and -x2 +xy+y²
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Given:
Five expressions:
- First expressions :- 2x² + 3xy
- Second expressions :- -xy - y²
- Third expressions :- 3x - y²
- Fourth expressions :- x²
- Fifth expressions :- -x² + xy + y²
What To Find:
We have to find,
- Sum of 1st and 2nd expressions
- Sum of 3rd, 4th and 5th expressions
- Difference of 1st-2nd and 3rd-4th-5th expressions
Solution:
- Finding the sum of 1st-2nd expressions.
(2x² + 3xy) + (-xy - y²)
Remove the brackets,
⇒ 2x² + 3xy - xy - y²
Rearrange the like terms,
⇒ 2x² - y² + 3xy - xy
Solve the like terms,
⇒ 2x² - y² + 2xy
- Finding the sum of 3rd-4th-5th expressions.
(3x - y²) + (-x²) + (-x² + xy + y²)
Remove the brackets,
⇒ 3x - y² - x² - x² + xy + y²
Rearrange the like terms,
⇒ - x² - x² - y² + y² + 3x + xy
Solve the like terms,
⇒ -2x² + 3x + xy
- Finding the difference.
(2x² - y² + 2xy) - (-2x² + 3x + xy)
Remove the brackets,
⇒ 2x² - y² + 2xy + 2x² - 3x - xy
Rearrange the like terms,
⇒ 2x² + 2x² - y² + 2xy - xy - 3x
Solve the like terms,
⇒ 4x² - y² + xy - 3x
∴ Thus, the difference is 4x² - y² + xy - 3x.
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