Subtract the algebraic expression `(16x+23y+12z,9x-27y+14z)`

Add the algebraic expressions 2x-10y,9y-12x+x+y

Factorize each of the following algebraic expressions: x(x+z)-y(y+z)( ii) a^(2)-b^(2)-a-b

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

Factorize each of the following expressions: x(x+z)-y(y+z)

If x,y,z are in H.P then the value of expression log(x+z)+log(x-2y+z)=

Simplify each of the following algebraic expressions by removing grouping symbols. 20-[5x y+3{x^2-(x y-y)-(x-y)}] 85-[12 x-7(8x-3)-2{10 x-5(2-4x)}] x y[y z-z x-{y x-(3y-x z)-(x y-z y)}]

Factorize of the expression: a^(3)x+a^(2)(x-y)-a(y+z)-z

Factorize each of the following expressions: 3-12(a-b)^(2) (ii) x(x+z)-y(y+z)