if a + b is equals to 8 a b is equals to 50 find the value of a cube plus b cube
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Solution :
It is given that ,
a + b = 8 ---( 1 )
ab = 50 ----( 2 )
Now ,
a³ + b³
= ( a + b )³ - 3ab( a + b )
= 8³ - 3 × 50 × 8
= 8 [ 8² - 150 ]
= 8 ( 64 - 150 )
= 8 × ( - 86 )
= - 688
•••••
It is given that ,
a + b = 8 ---( 1 )
ab = 50 ----( 2 )
Now ,
a³ + b³
= ( a + b )³ - 3ab( a + b )
= 8³ - 3 × 50 × 8
= 8 [ 8² - 150 ]
= 8 ( 64 - 150 )
= 8 × ( - 86 )
= - 688
•••••
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