a-b=-8,ab=-12,finda^3-b^3
Answers
Answered by
0
Answer:
-224
Step-by-step explanation:
Given---> a - b = -8 , ab = -12
To find ---> a³ - b³
Solution---> ATQ,
( a - b ) = -8
Squaring both sides we have,
=> ( a - b )² = ( -8 )²
=> a² + b² - 2ab = 64
=> a² + b² - 2 ( - 12 ) = 64
=> a² + b² + 24 = 64
=> a² + b² = 64 - 24
=> a² + b² = 40
Now,
a³ - b³ = ( a - b ) ( a² + b² + ab )
= ( - 8 ) { ( a² + b² ) + ab }
= ( - 8 ) { ( 40 ) + ( - 12 ) }
= ( -8 ) ( 40 - 12 )
= ( -8 ) ( 28 )
a³ - b³= - 224
Answered by
10
-224
#answerwithquality #bal
Similar questions
History,
4 months ago
Social Sciences,
4 months ago
Computer Science,
4 months ago
Physics,
8 months ago
Chemistry,
10 months ago
Math,
10 months ago