Q.6 If a - b = 6 and a^2 + b^2 = 42, find ab
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a -b =6
a^2 +b^2 =42
to find = ab
ans. (a+b)^2 =a^2 +b^2 +2ab
(a-b)^2 =a^2 +b^2 - 2ab
(6)^2 =42 -2(a-b)
36 =42-2 (a - b)
36-42 = -2(ab)
-6 = -2(ab)
-6/2 =ab
3 =ab
ab = 3. answer
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