Question

if a² + b² = 135
and ab = 11
then value of a³ + b³ is​

Answer 1

Isn't it right ...............

.m............

Answer 2

Answer:

124 √157

Step-by-step explanation:

Given-----> if ( a² + b² ) = 135 and ab = 11

To find-----> Value of ( a³ + b³ )

Solution------> ATQ,

a² + b² = 135 , ab = 11

We know that,

( a + b )² = a² + b² + 2ab

= 135 +2 ( 11 )

=> ( a + b )² = 135+ 22

=> ( a + b )² = 157

=> ( a + b ) = √157

Now , we know that,

( a³ + b³ ) = ( a + b ) ( a² + b² - ab )

= ( √157 ) ( 135 - 11 )

= √157 ( 124 )

( a³ + b³ ) = 124 √157

= 124 √157

= 124 × √157

( a³ + b³ ) = 124 √157