Question

(2x + 3y)^2– (2x – 3y)^2

Answer 1

Hi,

(2x + 3y)² - (2x - 3y)²

• (a + b)² = a² + 2ab + b²
• (a - b)² = a² - 2ab + b²

= [(2x)² + 2x*3y + (3y)²] - [(2x)² - 2x*3y + (3y)²]

= (4x² + 6xy + 9y²) - (4x² - 6xy + 9y²)

= 4x² + 6xy + 9y² - 4x² + 6xy - 9y²

= 12xy

I hope it helped ✅(◠‿◕)