Simplify (x + y)² - (x - y)² + 2xy - 3x²
1 answer:
Answer:

Step-by-step explanation:
<u>Given Expression:</u>
(x + y)² - (x - y)² + 2xy - 3x²
<u>Formulas used:</u>
Expand the above expression according to the formulas
![=x^2+2xy+y^2-(x^2-2xy+y^2)+2xy-3x^2\\\\= x^2+2xy+y^2-x^2+2xy-y^2+2xy-3x^2\\\\cancel \ out \ x^2 \ and \ y^2\\\\= 2xy+2xy+2xy-3x^2\\\\= 6xy-3x^2\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%3Dx%5E2%2B2xy%2By%5E2-%28x%5E2-2xy%2By%5E2%29%2B2xy-3x%5E2%5C%5C%5C%5C%3D%20x%5E2%2B2xy%2By%5E2-x%5E2%2B2xy-y%5E2%2B2xy-3x%5E2%5C%5C%5C%5Ccancel%20%5C%20out%20%5C%20x%5E2%20%5C%20and%20%5C%20y%5E2%5C%5C%5C%5C%3D%202xy%2B2xy%2B2xy-3x%5E2%5C%5C%5C%5C%3D%206xy-3x%5E2%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
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