Math, asked by prabhatiranidey, 11 months ago

a-b=-8,ab=-12,finda^3-b^3​

Answers

Answered by rishu6845
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 Aɾꜱɦ
10

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-224

#answerwithquality #bal

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