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प्रश्न
Factorise.
125k3 + 27m3
योग
उत्तर
It is known that,
a3 + b3 = (a + b)( a2 − ab + b2)
125k3 + 27m3
Here, a = 5k and b = 3m
= (5k)3 + (3m)3
= (5k + 3m) [(5k)2 + (3m)2 − (5k)(3m)]
= (5k + 3m) (25k2 + 9m2 − 15km)
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