If a³ - b³ = 899 & a-b=31, then (a - b)² +3 ab is equal to.
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Answer:
first of all
a³-b³= (a-b)(a²+ab+b²)
next is
899=31 (a²+ab+b²)
now
899-31= a²+b²-2ab+3ab
now
868=(a-b)²+3ab
so the answer is 868
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