Question

find the value of x³-y³ when x+y=-5 and xy=8​

Answer 1

Answer:

Step-by-step explanation:

Hi friend!!

Given, x+y=5--------(1)

Squaring on both sides, we get

x²+y²+2xy=25

Given, xy=6-----(2)

→x²+y²+2(6)=25

x²+y²+12=25

x²+y²=13--------(3)

Now, x³+y³=(x+y)(x²+y²-xy)

From (1),(2),(3) we get

x³+y³=5(13-6)

=5(7)=35

I hope this will help you ;)