Question

Not a timed or graded assignment. Please show all work and please name methods used to get to answer. Quick answer = amazing review :)

Answer 1

Given:

`m^3-49m`

To factorise:

Let us take the common factor outside the bracket.

`\begin{gathered} m^3-49m=m(m^2-49) \\ =m(m^2-7^2) \end{gathered}`

Using the algebraic identity,

`a^2-b^2=(a+b)(a-b)`

We can write,

`=m(m+7)(m-7)`

Final answer:

The factored form,

`m(m+7)(m-7)`