Question

Factorise fully the following
9x^2+3x^3

Answer 1

`3x^2\left(3+x\right)`

Explanation:

Look for common factor:
`3x^(2)` since we take the least exponent

and between numbers (3,9) the common factor is 3.

Thefore, we need to divide
`3x^2` by the equation.

Answer 2

`3x^2(3+x)`.

Explanation:

1. Write the expression.

`9x^2+3x^3`

2. Find a common denominator for both expressions, based on the x variable.

`(9x^2)/(3x^2) +(3x^3)/(3x^2) \\ \\3x^2(3+x)`

3. Express your result.

`9x^2+3x^3=3x^2(3+x)`.