# How do you simplify #5(w²-6)-8[9-(w²+6)]#?

##### 2 Answers

The final answer is

#### Explanation:

One thing to remember when you are simplifying polynomials is that if you are multiplying terms in the bracket by a number, multiply it with all the terms inside the bracket.

Also if you have a negative or minus outside of a bracket, you have to distribute it to all terms inside the bracket.

Start off with the terms with brackets. Distribute the

Get rid of the brackets inside the second term by distributing the minus across the terms in the bracket.

You can then subtract the like terms in the bracket

Now multiply the

You can now add and subtract the like terms in the expression.

See the entire simplification process below:

#### Explanation:

First, eliminate the parentheses within the brackets. Be careful to handle the signs of the individual terms correctly:

Next, expand the terms within parentheses by multiplying the terms within parentheses/brackets by the term outside the parentheses/bracket. Again, be careful to handle the signs of the individual terms correctly:

Now, group and then combine like terms: