Simplify the following: (6p-4q+2r) + (2p+3q-4r)

Let's simplify using formula. (3p+2q-4r)^2 + 2(3p+2q-4r)(4r-2p-q) + (4r-2p -q)^2

Let us factorise the following. p^4 - 4p^2q^2 + 4q^4

Expand the following. log((p^2q^3)/r^4)

Let us factorise the following. p^4 - 2p^2q^2 - 15q^4

Construct the truth table for the followings statements : (a) (p^^q) to ~ p " " (b) (p^^q) to (pvvq) (c) (p^^q) to r " " (d) [p^^(~r)] to (qvvr)

Let's express the following in the product form: p^4q^4 - r^4s^4

"If " a_(1) ,a_(2), a_(3)….." are in A.P, then find the value of the following determinant:" |{:(a_(p)+a_(p+m) +a_(p+2m),,2a_(p)+3a_(p+m)+4a_(p+2m),,4a_(p)+9a_(p+m)+16a_(p+2m)),(a_(p)+a_(q+m)+a_(q+2m),,2a_(q)+3a_(q+m) +4a_(q+2m),,4a_(q)+9a_(q+m)+16a_(q+2m)),(a_(r)+a_(r+m)+a_(r+2m),,2a_(r)+3a_(r+m)+4a_(r+2m),,4a_(r) +9a_(r+m)+16a_(r+2m)):}|

Let's find the L.C.M of the following algebraic expressions. (p+q) (q+r), (q+r)(r+p), (r+p)(p+q)

Show that the points (p , q , r) , (q , r , p) and (r , p , q) are the vertices of an equilateral triangle.

Match the following lists (where [x] represents the greatest integer function) and then choose the correct code. Codes : {:(,"a b c d"),((1),"s r q p"),((2),"q p s p"),((3), "s r p q"),((4),"p p q r"):}