If A={1,2},find `A xx A xx A`

If A={2,3},B={1,3} and C={3,4} find A xx (B uu C) .

If A={a,b,c},B={p,q,r} then find AxxB and B xx A .

The perimeter of /_\ABC is 6 times the arithmetic mean of the sines of its angles. If a = 1, find the angle A

Let A={1,2} and B={1,2,3,4},C={5,6} and D={5,6,7,8}.Verify that A xx (B nn C)=(A xx B)nn(A xx C)

If A={x:x^2+4x-12=0} and B={x:x^2-6x+8=0} then find A∩B.

Consider the following pattern. 2^3 -1^3 = 1 + 2 xx 1 xx 3 3^3 - 2^3 = 1 + 3 xx 2 xx 3 4^3 - 3^3 = 1 + 4 xx 3 xx 3 Using the above pattern, find the value of the following. 12^3 - 11^3

Consider the following pattern. 2^3 -1^3 = 1 + 2 xx 1 xx 3 3^3 - 2^3 = 1 + 3 xx 2 xx 3 4^3 - 3^3 = 1 + 4 xx 3 xx 3 Using the above pattern, find the value of the following. 7^3 - 6^3