Step-by-step explanation:
8a³+27b³+125c³-90abc
= (2a)³ + (3b)³ + (5c)³ -3(2a)(3b)(5c)
We know that :
a³ + b³ + c³ - 3abc = (a+b+c)(a²+b²+c²-ab-bc-ac)
So, 8a³+27b³+125c³-90abc = (2a+3b+5c)(4a² + 9b² + 25c²-6ab-15bc−10ac)
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Step-by-step explanation:
8a³+27b³+125c³-90abc
= (2a)³ + (3b)³ + (5c)³ -3(2a)(3b)(5c)
We know that :
a³ + b³ + c³ - 3abc = (a+b+c)(a²+b²+c²-ab-bc-ac)
So, 8a³+27b³+125c³-90abc = (2a+3b+5c)(4a² + 9b² + 25c²-6ab-15bc−10ac)