• #### Expansion of quadratics 2

Expand an expressions of the form $\left(x+p\right)\left(x+q\right)$ into a quadratic expression of the form $a{x}^{2}+bx+c$.

• #### Completing the square 1

Express a quadratic expression of the form ${x}^{2}+bx+c$ in the form ${\left(x+p\right)}^{2}+q$.

• #### Algebraic indicies

Simplify various expressions by working with algebraic indicies.

• #### Expansion of quadratics 3

Expand an expressions of the form $\left(px+q\right)\left(rx+s\right)$ into a quadratic expression of the form $a{x}^{2}+bx+c$.

• #### Completing the square 2

Express a quadratic expression of the form ${x}^{2}+bx+c$ in the form ${\left(x+p\right)}^{2}+q$.

• #### Expansion of quadratics 4

Expand an expressions of the form $m\left(px+q\right)\left(rx+s\right)$ into a quadratic expression of the form $a{x}^{2}+bx+c$.

• #### Factorisation of quadratics 1

Factorise the quadratic ${x}^{2}+bx+c$ into an expression of the form $\left(x+p\right)\left(x+q\right)$.

• #### Completing the square 3

Express a quadratic expression of the form $a{x}^{2}+bx+c$ in the form ${\left(x+p\right)}^{2}+q$.

• #### Factorisation of quadratics 2

Factorise the quadratic ${x}^{2}+bx+c$ into an expression of the form $\left(x+p\right)\left(x+q\right)$.

• #### Partial fractions of the form $\frac{Ο\left(x\right)}{Ο\left({x}^{2}\right)}$

Calculate the partial fractions of an expression of the form $\frac{Ο\left(x\right)}{Ο\left({x}^{2}\right)}$.

• #### Factorisation of quadratics 3

Factorise the quadratic $a{x}^{2}+bx+c$ into an expression of the form $\left(px+q\right)\left(rx+s\right)$.

• #### Factor theorem 1

Factorise the cubic ${x}^{3}+b{x}^{2}+cx+d$ into an expression of the form $\left(x+p\right)\left(x+q\right)\left(x+r\right)$.

• #### Partial fractions of the form $\frac{Ο\left({x}^{2}\right)}{Ο\left({x}^{3}\right)}$

Calculate the partial fractions of an expression of the form $\frac{Ο\left({x}^{2}\right)}{Ο\left({x}^{3}\right)}$.

• #### Factorisation of quadratics 4

Factorise the quadratic $a{x}^{2}+bx+c$ into an expression of the form $m\left(px+q\right)\left(rx+s\right)$.

• #### Factor theorem 2

Factorise the cubic $a{x}^{3}+b{x}^{2}+cx+d$ into an expression of the form $\left(x+p\right)\left(ax+q\right)\left(bx+r\right)$.

• #### Partial fractions of the form $\frac{Ο\left({x}^{4}\right)}{Ο\left({x}^{3}\right)}$

Calculate the partial fractions of an expression of the form $\frac{Ο\left({x}^{4}\right)}{Ο\left({x}^{3}\right)}$.

• #### Expansion of quadratics 1

Expand an expressions of the form $\left(x+p\right)\left(x+q\right)$ into a quadratic expression of the form $a{x}^{2}+bx+c$.