Factorisation of Algebraic Expression

Factorize the given algebraic expression by finding common factors:

$2+14x$

Factorize the given algebraic expression:

$16xyz(x+y)$

Factorize the given algebraic expression:

$5x-20y$

Factorize the given algebraic expression:

$14m{n}^2(2m-n)$

Factorize the given algebraic expression:

$12x^{2}y\left(x+2\right)$

Factorise $4x^2-4xy+y^2-6x+3y$

Factorise $x^2+xy-2y^2+x+5y-2$

Factorise $18u^2–9uv–2v^2$

Factorise $6x^2–17xy+10y^2$

Factorise $12a^2–5ab–2b^2$

Factorise $2x^2+7xy-15y^2$

Factorise $x^2\left(y^2-z^2\right)+4xyz-y^2+z^2$

Factorise $a^2+2b^2-2c^2+3ab+3bc+ca$

Factorise $x^2+3xy+2y^2+xz+2yz$

Factorise $x^4-a{b}^3+b^{3}x-a{x}^3$ by suitable arrangement.

Factorise $a^3-7a^2-21a+27$ by suitable arrangement.

Factorise $x^4+2x^{3}y-2x{y}^3-y^4$ by suitable arrangement.

Factorise $\left(a+b+c\right)\left(bc+ca+ab\right)-abc$ by suitable arrangement.

Factorise $2x^4-5x^3+4x^2-5x+2$

Factorise $x^4+3x^3+4x^2+3x+1$