Question

if a²+b²/ab=25/12,find the value of a³+b³/a³-b³.

Answer 1

hyr

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a²+b²/ab=25/12

=> $\frac{a^{2} + b^{2}}{ab} = \frac{25 }{12}$

sinnce  a ²+b² =25 {c²} ,we can apply pythgoras theoram to find a and b


=>3²+4² = 25

=>25 =25

∴a = 3,b = 4

in the same way in denominator a*b should be 12

=>3*4 = 12

=>12=12

now lets find the value of a³+b³/a³-b³

=>$\frac {3^{3} + 4^{3} }{3^{3} - 4^{3}}$

=> $\frac{25}{-7}$

=>$\frac{-25}{7}$

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hope it helps u...............