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

Let's find the L.C.M of the following algebraic expressions. p^2 - q^2 , (p-q)^2

Let's find the L.C.M of the following algebraic expressions. p^2- q^2, (p+q)^2

Let's find the L.C.M of the following algebraic expressions: 7p^2q^3, 35p^3q, 42pq^4

Let's find G.C.D of the following algebraic expressions. 5p^2q^2, 10p^2q^2, 25p^4q^3

Let's find the product of the following algebraic expression with the help of the identity (p-2q)(p^2 + 2pq + 4q^2)

"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)):}|

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)

If the pth, qth, and rth terms of an A.P. are in G.P., then the common ratio of the G.P. is a. (p r)/(q^2) b. r/p c. (q+r)/(p+q) d. (q-r)/(p-q)

If a, b, c be respectively the sums of p, q, r terms of an A.P., show that, (a)/(p)(q-r) + (b)/(q)(r-p) +(c )/(r )(p-q) = 0

The vertices of a triangle are (p q ,1/(p q)),(q r ,1/(q r)), and (r p ,1/(r p)), where p ,q and r are the roots of the equation y^3-3y^2+6y+1=0 . The coordinates of its centroid are