Question

How do you simplify `-2/3n^2(-9n^2+3n+6)`?

Answer 1

`6n^4-2n^3-4n^2`

Once you are used to these you will not need to break it down into steps but do it all at once.

Explanation:

Taking it one step at a time

Think of this as:

`2xx1/3xxn^2xx(-1)xx(-9n^2+3n+6)`

`color(blue)("Step 1")`
Multiply everything inside the brackets by `(-1)` giving:

`2xx1/3xxn^2xx(+9n^2-3n-6)`

`"............................................................................."`
`color(blue)("Step 2")`
Multiply everything inside the brackets by `n^2` giving:

`2xx1/3xx(9n^4-3n^3-6n^2)`

`"............................................................................."`
`color(blue)("Step 3")`
Multiply everything inside the brackets by `1/3` giving:

`2xx(3n^4-1n^3-2n^2)`

`"............................................................................."`
`color(blue)("Step 4")`
Multiply everything inside the brackets by `2` giving:

`6n^4-2n^3-4n^2`