Correct Answer - Option 1 : 4
Given:
{(A + B)2 - (A - B)2}/AB
Formula used:
(A + B)2 = A2 + B2 + 2AB
(A - B)2 = A2 + B2 - 2AB
Calculation:
Subtracting both formula
⇒ (A + B)2 - (A - B)2 = A2 + B2 + 2AB - (A2 + B2 - 2AB)
⇒ (A + B)2 - (A - B)2 = A2 + B2 + 2AB - A2 - B2 + 2AB
⇒ (A + B)2 - (A - B)2 = 4AB
∴ {(A + B)2 - (A - B)2}/AB = 4