Question

(3x+2y)² - (3x-2y)²​

Answer 1

Step-by-step explanation:

(a+b) ²-(a-b) ²

[ (3x) ² +(2y) ²+2×3x×2y ] - [(3x)² + (2y) ²- 2×3x×2y]

9x² + 4y² + 12xy - 9x²-4y²-12xy

they cut each other and become )0

Answer 2

$\huge\fbox\gray{ANSWER}$

$(3x + {2y})^{2} - (3x - {2y})^{2}$

$= 3 {x}^{2} + {2y}^{2} + 2(3x)(2y) - ( {3x}^{2} + {2y}^{2} - 2(3x)(2y))$

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

$= {9x}^{2} + {4y}^{2} + 12xy - {9x}^{2} - {4y}^{2} + 12xy$

$= 12xy + 12xy$

$= 24xy$