Math, asked by gurmejcheema13, 9 months ago

If x+y=8andxy=6,thenx3+y3=?

Answers

Answered by dalelamanya
1

Step-by-step explanation:

We need just the formula

x^3+y^3 = (x+y)(x^2+y^2-xy)

Hope it helps ..please mark it the brainliest

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Answered by rsagnik437
20

Given:-

•x+y=8

•xy=6

To find:-

•Value of x³+y³

Solution:-

By cubing both the sides in the equation,x+y=8,we get--

=>(x+y)³=(8)³

We know that (a+b)³=a³+b³+3ab(a+b)

=>x³+y³+3xy(x+y)=512

=>x³+y³+3×6(8)=512

=>x³+y³+144=512

=>x³+y³=512-144

=>x³+y³=368

Thus,value of x³+y³ is 368.

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