Add the following
`3a+6a^2b+4b,2b-9ab^2-6a,-6a-7b+2a^2b`

Identify like terms in the following: 3a^(2)b, 2abc, -6a^(2)b, 4abc

Add the following expressions: (i) 8a-6a b+5b ,\ -6a-a b-8b\ a n d-4a+2a b+3b (ii) 5x^3+7+6x-5x^2,\ 2x^2-8-9x ,\ 4x-2x^2+3x^3,\ 3x^3-9x-x^2\ a n d\ x-x^2-x^3-4

Factorise each of the following: (i) 8a^3+b^3+12 a^2b+6a b^2 (ii) 8a^3-b^3-12 a^2b+6a b^2 (iii) 27-125 b^3-135 a+225 a^2 (iv) 64 a^3-27 a^3-144 a^2b+108 a b^2 (v) 27 p^3-1/(216)-9/2p^2+1/4p

Factorize each of the following expressions: 6a b-b^2+12 a c-2b c , a(a+b-c)-b c

Add the algebraic expressions: 3a^2b ,-4a^2b ,9a^2b

Simplify the following (i) (3a^4b^3)(18 a^3b^5) (ii) (3a^7b^6)/(18 a^6b^8) ((-2a^2)/(b^3))^3

Factorize each of the following expressions: a^2x^2+(a x^2+1)x+a , 3a x-6a y-8b y+4b x

Add a^2b+2ab-7 and 2a^2b-ab+2

Add the following expressions: (i) x^3-2x^2y+3x y^2-y^3,\ 2x^3-5x y^2+3x^2y-4y^3 (ii) a^2-2a^3b+3a b^3+4a^2b^2+3b^4,-2a^2-5a b^3+7a^3b-6a^2b^2+b^4

Find the sum of the following series: (a-b)^2+(a^2+b^2)+(a+b)^2+...+[(a+b)^2+6a b]