Math, asked by aninditaroy956, 5 months ago

If x + y = a and xy = b, then the value of 1/x³+1/y³ is ?​

Answers

Answered by anjur2711
0

Answer:

+

y

3

1

=

x

3

y

3

x

3

+y

3

=

(xy)

3

(x+y)

3

−3xy(x+y)

=

b

3

a

3

−3ba

=

b

3

a

3

−3ab

Answered by kshariharan
2

Answer:

(a³-3ab)/b³

Step-by-step explanation:

1/x³+1/y³=(x³+y³)/x³y³

(x³+y³)=(x+y)³-3xy(x+y)=a³-3ab

x³y³=(xy)³=b³

now apply these on the first line equation

1/x³+1/y³=(a³-3ab)/b³

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