Algebraic Manipulation

Simplify ${\displaystyle \frac{2x}{6}}$.

Simplify ${\displaystyle \frac{x^2}{x}}$ (for $x\mathrm{\ne }0$).

Simplify ${\displaystyle \frac{3x}{x}}$ (for $x\mathrm{\ne }0$).

Write ${\displaystyle \frac{1}{4}}+{\displaystyle \frac{1}{4}}$ in its simplest form.

Expand $3(x+4)$.

Expand $2(3x-5)$.

Expand $x(x+7)$.

Expand and simplify $2(x+3)+4$.

Factorise $6x+9$.

Factorise $x^2+5x$.