Question

Which expressions are equivalent to 7b(3+c) ? Select each correct answer. 14bc (7b⋅3)+(7b⋅c) −4b+7c 21b+7bc 7b+14bc https://screenshots.firefox.com/NFZTzhDPbCzxU3kN/learning.k12.com

Answer 1

Both (7bâ‹…3)+(7bâ‹…c) and 21b+7bc are correct choices. Let's take a look at the choices and see if we can manipulate 7b(3+c) to make it match. 14bc * I can't think of any way to change 7b(3+c) to make this equation. So bad choice. (7bâ‹…3)+(7bâ‹…c) * This looks like the multiplication of 7b was distributed to the 2 terms of the addition. That's a legal manipulation and this is a good choice. â’4b+7c * I can't think of any way to change 7b(3+c) to make this equation. So bad choice. 21b+7bc * This looks like the multiplication of 7b was distributed getting (7bâ‹…3)+(7bâ‹…c) and then the multiplications were either done, or made implicit. These are legal manipulations and this is a good choice as well. 7b+14bc * I can't think of any way to change 7b(3+c) to make this equation. So bad choice.