Here,

$\begin{array}{l}\Rightarrow {(78.95)}^{\text{2}}-{(43.35)}^{\text{2}}\text{= (78.95 + 43.35)}\\ \\ \Rightarrow \text{(78.95}-\text{43.35)}\\ \text{[}\because {\text{a}}^{\text{2}}-{\text{b}}^{\text{2}}\text{=(a + b)(a}-\text{b)]}\\ \\ \text{= (122.3)}\times \text{(35.6) = 4353.88}\end{array}$

Hence, option A is correct.