(3a-2b)^(3)+(2b-5c)^(3)+(5c-3a)^(3)

Factorize the following 3,a+b+c,a^(3)+b^(3)+c^(3)a+b+c,a^(2)+b^(2)+c^(2),a^(4)+b^(4)+c^(4)a^(2)+b^(2)+c^(2),a^(3)+b^(3)+c^(3),a^(5)+b^(5)+c^(5)]|

If (a)/(b)=(4)/(3), then (3a+2b)/(3a-2b)=?( a) -1 (b) 3 (c) 5(d)6

If a,b,c are real numbers such that a+b+c=0 and a^(2)+b^(2)+c^(2)=1, then (3a+5b-8c)^(2)+(-8a+3b+5c)^(2)+(5a-8b+3c)^(2) is equal to

Prove (a+2b)^3+(b+2c)^3+(c+2a)^3+3(a+3b+2c)(b+3c+2a)(c+3a+2b)=27(a+b+c)^3

(2/3)^(-5) is equal to (a) ((-2)/3)^5 (b) (3/2)^5 (c) (2^-5)/3 (d) 2/(3^5)

If D is the mid-point of the side BC of triangle ABC and AD is perpendicular to AC, then 3b^(2)=a^(2)-c( b )3a^(2)=b^(2)3c^(2)b^(2)=a^(2)-c^(2)(d)a^(2)+b^(2)=5c^(2)

If a,b,c are three unequal positive number in HP then a) a^(100)+c^(100)>2b^(100)b)a^(3)+c^(3)>2b^(3)c)a^(5)+c^(5)>2b^(5)d)a^(2)+c^(2)>2b