self Maths Puzzle

a^3 - b^3 - 3ab = 1

Prove that
(a^3 - b^3 + ab) is a perect square.

Read Solution (Total 2)

self Other Question

Two circles of radius 4cm, and 9cm touch each other externally. A common tangent AB is drawn to these two circles, A and B lie on the two circles respectively. Then the radius of the circle which touches the given circles, and also whose tangent is line AB is(a) 1.32 cm (b) 1.44 cm (c) 1.56 cm (d) 1.68 cm
two circles of radius 4 cm and 9 cm respectively touch each other externally at a point and a common tangent touches them at the points P and Q respectively. Then the area fo a square with one side PQ, is