Question

Brayden is simplifying the expression 4n – (n – 3)2. He begins by distributing the negative to the terms inside the parentheses. What should he have done instead? combine like terms square the binomial cube the binomial rewrite the expression as a fraction

Answer 1

The right approach would be:
4n - (2n - 6)
4n - 2n + 6
2n+6

The options confused me. So pick the answer based on the solution.

Answer 2

`-n^2 + 10n - 9`

Explanation:

We are given the following:

Brayden wants to simplify the given expression.

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

He begins by distributing the negative to the terms inside the parentheses. This is a wrong approach to simplify the expression.

He should have first square the term, then distribute the negative sign and then combine the like terms.

Simplification of the given expression:

`4n-(n-3)^2\\4n-(n^2 + 9 -6n)\\4n-n^2-9+6n\\-n^2 + 10n - 9`