Question

if x+y=5 and xy=6 the value of (x3-y3) is​

Answer 1

Ans: x^3 - y^3 = 19

step by step procedure

Given,

(x - y) = √( x + y )^2 - 4xy

= √ (5)^2 - 4(6) =√ 25 - 24 =√1=1

x - y = 1(cubic on both sides)

(x - y )^3 = (1)^3

x^3 -3xy(x - y) - y^3 = 1

x^3 - 3(6)(1) - y^3 =1

x^3 - (18) - y^3 = 1

x^3 - y^3 = 1+ 18=19

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