Math, asked by beautyansu, 3 months ago

find the sum of 2x^2 + xy - y^2, x^2 - 2xy + 5y^2. Answer fast please ​

Answers

Answered by dasj19126
1

Answer:

(2 {x}^{2}  + xy -  {y}^{2} ) + ( {x}^{2} - 2xy + 5 {y}^{2}  ) \\  = 2 {x}^{2} + xy -  {y}^{2}   +  {x}^{2}  - 2xy + 5 {y}^{2}  \\  = 3 {x}^{2}  - xy + 4 {y}^{2}

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Answered by Souhadra
2

Step-by-step explanation:

Given x2 + 2xy + y2, x2 – 3y2and 2x2 – y2 + 9. First we have to find the sum of x2 – 3y2 and 2x2 – y2 + 9 = (x2 – 3y2) + (2x2 – y2 + 9) = x2 + 2x2 – 3y2 – y2+ 9 = 3x2 – 4y2 + 9 Now, required expression = (x2 + 2xy + y2) + (3x2 – 4y2 + 9) = x2 + 3x2 + 2xy + y2 – 4y2 + 9 = 4x2 + 2xy – 3y2+ 9

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