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emmasim [6.3K]
2 years ago
9

Simplify (x + y)² - (x - y)² + 2xy - 3x²​

Mathematics
1 answer:
Vinil7 [7]2 years ago
3 0

Answer:

\huge\boxed{\sf 6xy-3x^2}

Step-by-step explanation:

<u>Given Expression:</u>

(x + y)² - (x - y)² + 2xy - 3x²​

<u>Formulas used:</u>

  • (x+y)^2=x^2+2xy+y^2
  • (x-y)^2=x^2-2xy+y^2

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}

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