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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