If a - b = 3 and a^2 + b^2 = 29 then ab = ?

Simplification Test 8

Question : 19 of 40

Marks: +1, -0

a - b = 3

and

a^2 + b^2 = 29

then

ab =

Solution:

(a-b)^2=a^2+b^2-2ab

∴ab={ (a^2+b^2)-(a-b^2)}/2

={29-3^2}/2=20/2=10

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