Question

Divide.
(12x^7-6x^5)/(2x^3)

Answer 1

`(12x^7-6x^5)/(2x^3)`

Answer:

Factor:

`12x^7-6x^5\quad 6x^5\left(2x^2-1\right)`

Cancel:

`}(6x^5\left(2x^2-1\right))/(2x^3):\quad 3x^2\left(2x^2-1\right)`

Distribute:
`3x^2\left(2x^2-1\right):\quad 6x^4-3x^2` =

`6x^4-3x^2`

Hope this helps!!

Answer 2

`\frac{12 {x}^(7) - 6 {x}^(5) }{2 {x}^(3) } = 6 {x}^(4) - 3 {x}^(2)`

Step-by-step explanation

The given expression is :

`\frac{12 {x}^(7) - 6 {x}^(5) }{2 {x}^(3) }`

We split the numerator to obtain;

`\frac{12 {x}^(7) }{2 {x}^(3) } - \frac{ 6 {x}^(5) }{2 {x}^(3) }`

Recall that:

`\frac{ {a}^(m) }{ {a}^(n) } = {a}^(m - n)`

We apply this law to obtain:

`6 {x}^(7 - 3) - 3 {x}^(5 - 3)`

Simplify the exponents to get;

`6 {x}^(4) - 3 {x}^(2)`