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}`