19. If ab = 5 and a-b=2
then, find the value of a^3-b^3
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Answered by
3
Hey mate❤
given here
if ab = 5, and a-b= 2. (1)
find here
value of
a³-b³=❓❓
Solution:--
we know,
(a-b)²=a²+b²-2ab. (2)
so,
(2)²=a²+b²-2×5
=>4=a²+b²-10
=>a²+b²=14. ...(3)
so,
(a³-b³)
=(a-b)(a²+b²+ab)
=(2)(14+5)
=2(19)
=38
Hopes its helps u
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