a-b=6 and a^2-b^2=222 then the value of a^3-b^3 is
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a³-b³=6214.5
Step-by-step explanation:
a-b=6 ---------(1)
and a^2-b^2=222
(a+b)(a-b)=222
(a+b)*6=222
a+b=222/6=37------(2)
form (1) and (2) we get
a=21.5 and 15.5
Now a³-b³=(a-b)(a²+b²+ab)
=(a-b)(a²+b²+2ab-ab)
=6*{ (a+b)²-ab}
=6*{ 37²-15.5*21.5}
=6*( 1369-333.25)
=6214.5
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