Show that : `(4p q+3q)^2-(4q p-3q)^2=48 p q^2` `(a-b)(a+b)+(b-c)(b+c)+(c-a)(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

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

If a,b,c denote the sides of triangleABC , show that the value of the expression, a^3 (p-q)(p-r)+b^2(q-r)+b^2(q-r)(q-p)+c^2(r-p)(r-q) cannot be negative where p,q,r in R .

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

If (p)/(a) + (q)/(b) + (r )/(c )=1 " & " (a)/(p) + (b)/(q) + (c )/(r )=0 find (p^(2))/(a^(2)) + (q^(2))/(b^(2)) + (r^(2))/(c^(2)) = ?

If a(p+q)^2+2b p q+c=0 and a(p+r)^2+2b p r+c=0(a!=0) , then