What is the formulae of a³-b³
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Step-by-step explanation:
a²+b²+2ab=(a+b)²
a²+b²-2ab=(a-b)²
a²-b²=(a+b)(a-b)
a³+b³=(a+b)(a²+b²-ab)
a³-b³=(a-b)(a²+b²+ab)
a³+b³+c³-3abc=(a+b+c)(a²+b²+c²-ab-bc-ca)
a³+b³+3ab(a+b)=(a+b)³
a³-b³-3ab(a-b)=(a-b)³
a³-b³=a³-b³+a²b-a²b+b²a-b²a
=a³-a²b -b³+ab²+a²b-b²a
=a²(a-b)+b²(a-b)+ab(a-b)
=(a-b)(a²+b²+ab)
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