Simplify `(4m+5n)^2+(5m+4n)^2`

Simplify (7m-8n)^2+(7m+8n)^2

Simplify (m^2-n^2m)^2+ 2m^3n^2

Simplify (5^((1)/(7)))^(4)

If m is the A.M. of two distinct real numbers l and n""(""l ,""n"">""1) and G1, G2 and G3 are three geometric means between l and n, then G1 4+2G2 4+G3 4 equals, (1) 4l^2 mn (2) 4l^m^2 mn (3) 4l m n^2 (4) 4l^2m^2n^2

If the sum of the first ten terms of the series (1 3/5)^2+(2 2/5)^2+(3 1/5)^2+4^2+(4 4/5)^2+. . . . . , is (16)/5 m, then m is equal to: (1) 102 (2) 101 (3) 100 (4) 99

Simplify combining like terms: (3y^2+5y-4)-(8y-y^2-4)

If m and n are the roots of the equations 2x^(2)- 4x + 1=0 Find the value of (m+n) ^(2) +4mn.

If n is any positive integer then the value of (i^(4 n+1)-i^(4 m-1))/(2)=

lim_(n rarr oo) (4^(n)+5^(n))^(1/n) =