Factorize each of the following: (i) 8a3+b3+12a2b+6ab2 (ii) 8a3−b3−12a2b+6ab2 (iii) 27−125a3−135a+225a2 (iv) 64a3−27b3−144a2b+108ab2 (v) 27p3−1216−92p2+14p

How do you find the Maclaurin series for tanx?

Why is Axiom 5, in the list of Euclid’s axioms, considered a ‘universal truth’? (Note that the equation is not about the fifth postulate.)

The smallest composite number is ______.

(a) 2

(b) 4

(c) 1

(d) None of these

Find the arithmetic mean of the first ten odd natural numbers.

A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30 km upstream and 21 km downstream in 6 hours and 30 minutes. The speed of the boat in still water is

A. 10 km/hr

B. 4 km/hr

C. 14 km/hr

D. 6 km/hr