Question

Expand the brackets and simplify the expression below.
a. 3(2x-5)+17

Answer 1

To expand the brackets and simplify the expression 3(2x-5)+17, we distribute the 3 to each term inside the bracket and combine like terms to obtain 6x + 2.

Step-by-step explanation:

We will expand the brackets and simplify the expression 3(2x-5)+17.

To expand the brackets means to apply the distributive property, which involves multiplying the term outside the brackets by each term inside the brackets.

To expand the brackets and simplify the expression 3(2x-5)+17, we distribute the 3 to each term inside the bracket:

3(2x-5) = 3 * 2x + 3 * (-5) = 6x - 15

Then, we combine like terms by adding the result above and 17:

6x - 15 + 17 = 6x + 2

Therefore, the simplified expression is 6x + 2.

Answer 2

To expand and simplify the expression 3(2x-5)+17, distribute the 3 across the terms inside the brackets to get 6x - 15, then add 17 to simplify it to 6x + 2.

Step-by-step explanation:

We will expand the brackets and simplify the expression 3(2x-5)+17. To expand the brackets means to apply the distributive property, which involves multiplying the term outside the brackets by each term inside the brackets.

So, we first multiply 3 by 2x to get 6x, and then multiply 3 by -5 to get -15. After we have done this, our expression will look like: 6x - 15 + 17.

Finally, we combine the like terms, which in this case are the constant terms -15 and 17. Adding these together, we get 6x + 2.

To check if this is reasonable, we ensure all terms have been accounted for and that basic arithmetic has been correctly applied.