Question

Simplify (3x-2y)(3x+4y)-(3x+2y)(3x-2y)

Answer 1

(3x-2y)(3x+4y)-(3x+2y)(3x-2y)

(3x-2y)[(3x+4y)-(3x+2y)]
(3x-2y)[3x+4y-3x-2y]
(3x-2y)(2y)
(6xy- 4y²)

Answer 2

Given :-

• (3x-2y)(3x+4y)-(3x+2y)(3x-2y)

Solution :-

→ (3x-2y)(3x+4y)-(3x+2y)(3x-2y)

Take (3x - 2y) as a common

→ (3x - 2y)[(3x + 4y) - (3x + 2y)]

→ (3x - 2y)[3x + 4y - 3x - 2y]

→ (3x - 2y)[3x - 3x + 4y - 2y]

→ (3x - 2y)2y

→ 2y(3x - 2y)

→ 6xy - 4y²

Extra Information

• (a + b)² = a² + b² + 2ab
• (a - b)² = a² + b² - 2ab
• a² - b² = (a + b)(a - b)
• a³ + b³ = (a + b)(a² - ab + b²)
• a³ - b³ = (a - b)(a² + ab + b²)
• (a + b)³ = a³ + b³ + 3ab(a + b)
• (a - b)³ = a³ - b³ - 3ab(a - b)