निम्नलिखित का गुणनखंड ज्ञात करें :
` p-2q-p^(2) +4q^(2)`

I. p^(2)= 4 II. q^(2) + 4q =- 4

5pq(p^2 - q^2) -: 2p(p+q)

(p + q) ( p^2 - pq + q^2 ) = ____

If AM and GM of x and y are in the ratio p: q, then x: y is : a) p - sqrt(p^(2)+ q^(2)) : p +sqrt (p^(2)+ q^(2)) b) p +sqrt(p^(2) - q^ (2) ) : p- sqrt(p^(2)-q^(2)) c) p : q d) p + sqrt(p^(2) + q^(2)) : p-sqrt(p^(2) + q^(2))

Factorise p ^(4) + q ^(4) + p ^(2) q ^(2).

Show that: x p q p x q q q xx-p)(x^2+p x-2q^2) .

Divide: p^(4)-4q^(4) by p-sqrt(2)q

If p, q, r are in A.P the p^(2) (q + r), q^(2) (r + p), r^(2) (p+q) are in

Let P and Q be 3 xx3 matrices with P != Q . If P^(3) = Q^(3) and P^(2) Q = P^(2)Q = Q^(2) P , then determinant of (P^(2) + Q^(2)) is equal to :

P ** q = p^2 - q^2 p $ q = p^2 - q^2 p $ q = p^2 + q^2 p @ q = pq + p + q p Delta q = Remainder of p/q p © q = greatest integer less than or equal to p/q . If p = 8 and q = 10 , then the value of [(p $ q) Delta (p @ q)] ** [(q ** p) @ (q © p)] is :