# If a - b = 3 and a2 + b2 = 29, find the value of ab.

According to the problem given,

a - b = 3 ---( 1 )

a² + b² = 29----( 2 )

We know that the algebraic identity,

( a - b )² = a² + b² - 2ab

3² = 29 - 2 ab

[ From ( 1 ) and ( 2 ) ]

9 = 29 - 2ab

2ab = 29 - 9

2ab = 20

ab = 10

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