Question

Please answer with process

Answer 1

$\mathsf{Given : a - b = 5}$

$\mathsf{Squaring\;on\;both\;sides,\;we\;get :}$

$\mathsf{\implies (a - b)^2 = 5^2}$

$\mathsf{\implies a^2 + b^2 - 2(a.b) = 25}$

$\mathsf{Given : a^2 + b^2 = 29}$

$\mathsf{\implies 29 - 2(a.b) = 25}$

$\mathsf{\implies 2(a.b) = 29 - 25}$

$\mathsf{\implies 2(a.b) = 4}$

$\mathsf{\implies (a.b) = 2}$