Math, asked by elmasrytec35, 10 months ago

find the value of p³-q³ , if p-q= 5/7 and pq= 7/3.
I need answer ASAP.


Answers

Answered by Brâiñlynêha
5

\huge\mathfrak{Answer}

\sf p-q=\frac{5}{7}

\sf pq =\frac{7}{3}

\sf (p-q){}^{3}=p{}^{3}-q{}^{3}-3pq(p-q)

\implies\sf \frac({5}{7}){}^{3}=p{}^{3}-q{}^{3}-3×\frac{7}{3}(\frac{5}{7})

\implies\sf \frac{125}{343}=p{}^{3}-q{}^{3}-7×\frac{5}{7}

\implies\sf \frac{125}{343}=p{}^{3}-q{}^{3}-5

\implies\sf \frac{125}{343}+5=p{}^{3}-q{}^{3}

\implies\sf \frac{125+1715}{343}=p{}^{3}-q{}^{3}

\implies\sf \frac{1840}{343} =p{}^{3}-q{}^{3}

\sf 5.364=p{}^{3}-q{}^{3}

Answered by rishu6845
6

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