Math, asked by agrimablinkarmymoaee, 3 months ago

from the sum of 2x² + 3xy, -xy -y², subtract the sum of 3x -y² and -x² and -x2 +xy+y²
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Answers

Answered by Khandelwaldolly736
1

Here is ur answer

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Answered by IntrovertLeo
5

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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