Find the values of each of the following expressions for `a=1,\ b=2\ a n d\ c=-1.` (i) `a^2+b^2+2a b` (ii) `2a^2-b^2c+3a b c`

Find the values of each of the following expressions for a=1,\ b=2\ a n d\ c=-1. (i) a^3+b^3+c^3-3a b c (ii) a^2+b^2+c^2-a b-b c-c a

Find the values of each of the following expressions for a=1,b=2 and c=-1a^(2)+b^(2)+2ab( ii) 2a^(2)-b^(2)c+3abc

Find the values of each of the following expressions for a=1,b=2 and c=-1a^(3)+b^(3)+c^(3)-3abca^(2)+b^(2)+c^(2)-ab-bc-ca

Evaluate each of the following algebraic expressions for x=1,\ y=-1, z=2,\ a=-2,\ b=1,\ c=-2: (i) a x+b y+c z (ii) a x^2+b y^2-c z^2 (iii) a x y+b y z+c x y

Evaluate each of the following algebraic expressions for x=1,\ y=-1, z=2,\ a=-2,\ b=1,\ c=-2: (i) a x+b y+c z (ii) a x^2+b y^2-c z^2 (iii) a x y+b y z+c x y

Place the last two terms in each of the following expressions in parentheses preceded by a '-^(prime) sign: 2a^2-b^2-3a b+6 (ii) a^2+b^2-c^2+a b-3a c

Place the last two terms in each of the following expressions in parentheses preceded by a '-^(prime) sign: 2a^2-b^2-3a b+6 (ii) a^2+b^2-c^2+a b-3a c

Factorize each of the following expressions: (i) 4a^2+12 a b+9b^2-8a-12 b , (ii) a^2+b^2-2(a b-a c+b c)

Factorize each of the following expressions: (i) 4a^2+12 a b+9b^2-8a-12 b , (ii) a^2+b^2-2(a b-a c+b c)

Simplify the following expressions : 2/3 (2a-b) +1/2 (a-2b+c) - 1/3 c