Question

if (a-b) =5 and ab=14,then find the value of (a3-b3) ​

Answer 1

Given:-

=>a-b=5

=>ab=14

To find:-

=>Value of a³-b³

Solution:-

Squaring both the sides in the equation a-b=5,we get---

=>(a-b)²=(5)²

=>a²+b²-2ab=25

=>a²+b²-2(14)=25

=>a²+b²-28=25

=>a²+b²=25+28

=>a²+b²=53

We know that a³-b³=(a-b)(a²+b²+ab)

=>a³-b³=5(53+14)

=>a³-b³=5(67)

=>a³-b³=335

Thus,the value of a³-b³ is 335.

Answer 2

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