Question

I WILL MARK YOU AS BRILLIANT IF YOU ANSWER MY QUESTION6.If x+y=5 ,xy=6 and x 2+y 2=13 find x 3 - y 3

Answer 1

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 ;)

plz mark me as a brainliest answer

Answer 2

Answer:

x + y = 5 xy = 6 x^2+y^2 = 13

(x - y)^2 = (x+y)^2 - 4xy

x - y = ✓(x+y)^2 - 4xy

x - y = ✓25+24 = ✓49 = 7

x^3 - y^3

= (x - y) [(x)^2 + x.y + (y)^2]

= (7) [13+6]

= 7 × 19

= 133

hope it helps you