What is the value of [(2.1)3 - (1.8)3] / [(2.1)2 + (2.1 × 1.8) + (1.8)2]?
1). 0.6
2). 3.9
3). 0.03
4). 0.3
(a3$ - b3$) = (a - b) (a2$ + ab + b2$)
⇒ [(2.1)3$ - (1.8)3$] = (2.1 - 1.8) [(2.1)2$ + (2.1 × 1.8) + (1.8)2$]
[(2.1)3$ - (1.8)3$] / [(2.1)2$ + (2.1 × 1.8) + (1.8)2$]
⇒ (2.1 - 1.8) [(2.1)2$ + (2.1 × 1.8) + (1.8)2$] / [(2.1)2$ + (2.1 × 1.8) + (1.8)2$]
⇒ 2.1 - 1.8 = 0.3
1. If (a2 + b2 – ab) = 55.56% of 54 and (a + b)3 = 512, then find the value of (a3 + b3).
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