Question

Show that (4xy + 3y)²– (4xy - 3y)² = 48xy²​

Answer 1

Answer:

Proved by the formula :

a² - b² = (a - b)(a + b)

Step-by-step explanation:

• (4xy + 3y)² = (4xy + 3y)(4xy + 3y)
• (4xy - 3y)² = (4xy + 3y)(4xy - 3y)

a² - b² = (a - b)(a + b)

(4xy + 3y)² - (4xy - 3y)² = (4xy + 3y - 4xy + 3y)(4xy + 3y + 4xy - 3y)

= 4xy - 4xy + 3y + 3y × 4xy + 4xy + 3y - 3y

= 0 + 6y × 8xy - 0

= 6y × 8xy

= 48xy²

Hence proved..!

Hope it helps u..!