"দেখান: `(4p q+3q)^2-(4q p-3q)^2=48 pq^2` `(ab)(a+b)+(bc)(b+c)+(ca )(c+a)=0`"

Show that : (4pq+3q)^(2)-(4qp-3q)^(2)=48pq^(2)(a-b)(a+b)+(b-c)(b+c)+(c-a)(c+a)=0

(p-q)^(2)+4pq

show that (4pq+3q)^(2)-(4pq-3q)^(2)=48pq^(2)

Show that.(i) (3x+7)2-84x=(3x-7)2( ii) (9p-5q)2+180pq=(9p+5q)2( iii) (43(m)-34(n))2+2mn=169(m2)+916(n2)( iv )(4pq+3q)2-(4pq-3q)2=48pq2(v)(a-b)(a+b)+(b-c)(b+c)+(c-a)(c+a)=0

If 2p+3q=18 and 2p-q=2, then 2p+q=?( a) 6 (b) 7 (c) 10 (d) 20

Subtract: 4pq - 5a^(2) - 3p^(2) "from" 5p^(2) + 3q^(2) - pq

{(p^(2)+3px+3pq+9qx)(p-3q)}-:(p^(2)-9q^(2))

If t_n denotes the nth term of an A.P. and t_p= 1/q, t_q= 1/p then which one of the following is necessarily a root of the equation (p+2q-3r)x^2+(q+2r-3p)x+(r+2p-3q)=0 (A) t_p (B) t_q (C) t_(pq) (D) t_(p+q)

If in a g.P. { t_(n)) it is given that t_(p+q) =a and t_(p-q) = b then : t_(p) = (A) (ab)^(1/2) (B) (ab)^(1/3) (C) (ab)^(1/4) (D) none of these