Factorize: `a^3x^3-3a^2b x^2+3a b^2x-b^3`

Factorize: a^(3)x^(3)-3a^(2)bx^(2)+3ab^(2)x-b^(3)

Factorize: 8a^3-b^3-4a x+2b x

Factorize : a(a+b)^3-3a^2b(a+b)

Factorize: 1) x^3-2x^2y+3x y^2-6y^3 2) 6a b-b^2+12 a c-2b c

Solve by factorization: a^2x^2-3a b x+2b^2=0

Find the greatest common factors of the monomials 6x^3a^2b^2c ,\ 8x^2\ a b^3\ c^3

factorize 2x^(2) - 5xy + 3y^(2) , and use your result to factorize 2(3a-b)^(2) - 5(3a-b)(2a-b) + 3(2a-b)^(2) . The factors are

Factorize: 4\ (x+y)^2-28 y(x+y)+49 y^2 (2a+3b)^2+2(2a+3b)(2a-3b)+(2a-3b)^2

Write each of the following in exponential form: (i) a^2b^3x\ a^3b (ii) 3a^2b^3\ x\ \ 2a b^4 (iii) 4x^2y^3\ x\ \ 3x y^2\ x\ 5x^2y

Factorize :12x^(3)y^(3)+16x^(2)y^(5)-4x^(5)y^(2)18a^(3)b^(2)+36ab^(4)-24a^(2)b^(3)