Suppose we want to divide
6x 3 ÷ 2x
We first factorise 6x 3 ÷ 2x separately
6x 3 = 6 × x 3
= 2 × 3 × x × x × x
2x = 2 × x
And then, divide
(6x 3 )/2x = (2 × 3 × x × x × x)/(2 × x)
= 3 × x × x
= 3x 2
Let’s do some more examples
6x 3 ÷ 3x 2
Factorising 6x 3 ÷ 3x 2 separately
6x 3 = 6 × x 3
= 2 × 3 × 𝑥 × 𝑥 × 𝑥
3x 2 = 3 × x 2
= 3 × 𝑥 × 𝑥
Dividing
(6x 3 )/(3x 2 ) = (2 × 3 × x × x × x)/(3 × x × x)
= 2𝑥
