Question

Factorise:

(l+m)²–(l-m)²​

Answer 1

Answer:-

4lm

Step-by-step explanation:-

(l + m)² - (1 - m)²

Using a² - b² = (a + b)(a - b)

Here, a = (l + m) and b = (l - m)

⇒[(l + m) + (l - m)] [(l + m) - (l - m)]

⇒[l + m + l - m] [l + m - l + m]

⇒(2l) (2m)

⇒2 × 2 × l × m

⇒4lm

Answer 2

Step-by-step explanation:

=> (l+m) ^2 -(l-m) ^2

=> (l+m) ^2 -(l-m) ^2=> [(l+m+l-m)] [(l+m-l+m)]

=> (l+m) ^2 -(l-m) ^2=> [(l+m+l-m)] [(l+m-l+m)]=> [l+m+l-m] [l+m-l+m]

=> (l+m) ^2 -(l-m) ^2=> [(l+m+l-m)] [(l+m-l+m)]=> [l+m+l-m] [l+m-l+m]=> (2l) (2m) = 2×2 (l×m)

ANSWER :- 4lm.