Question

Simplify (3x+2y)²+(3x-2y)²​

Answer 1

Answer:

2*(9x^2 + 4y^2)

Step-by-step explanation:

(3x+2y)²+(3x-2y)²​

= (9x^2 + 12xy +4y^2) + (9x^2 - 12xy + 4y^2)

= 9x^2 + 12xy +4y^2 + 9x^2 - 12xy + 4y^2

12xy cancels out,

= 9x^2 + 9x^2 +4y^2 +4y^2

= 18x^2 + 8y^2

= 2*(9x^2 + 4y^2)

Answer 2

We have, (3x+2y)²+(3x-2y)²

= (3x+2y)² + (3x-2y)²

= 9x² + 4y² + 12xy + 9x² + 4y² - 12xy

= 9x²+9x² +4y²+4y² +12xy-12xy

= 18x² + 8y²

= 2(9x² + 4y²) Answer.