Question

Can someone help me?

Answer 1

`\displaystyle (2x^3(x-3))/(5(x+3))`

Explanation:

We will simplify this expression to find the equivalent one. Since all of these terms are being multiplied against each other, we can cancel things out that we couldn't if they were being added or subtracted.

Given:

`\displaystyle (12x^4(x-3)(x+5))/(30x(x+3)(x+5))`

Cancel out 1:

`\displaystyle (12x^4(x-3))/(30x(x+3))`

Simplify
`(12x^4)/(30x)`:

➜ First we can simplify
`(12)/(30)` because both terms can be divided by 6.

➜ Next we can simplify
`(x^4)/(x)` using exponent rules.

`\displaystyle (2x^4(x-3))/(5x(x+3))`

`\displaystyle (2x^3(x-3))/(5(x+3))`