Solution
Given that a-b = 5 and $$a^2 +b^2 = 45 $$ then ab = ?
we know that $$ (a-b)^2 = a^2 +b^2 -2ab $$
putting the value of a-b and $$ a^2 +b^2 $$
so $$(5)^2 = 45 -2ab$$
$$\Rightarrow 25 = 45 -2ab $$
$$\Rightarrow 2ab = 20 $$
$$\Rightarrow ab =10 Ans $$
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