Question

When asked to rewrite the expression (x3 + 2x? – x)-(-x3 + 2x2 + 6), Denise made a mistake. She did not get the correct answer, 2x3 -x-6. Identify where she

made her made her mistake.
Your answer
She started with the original problem: (x3 + 2x2 - x)-(-x3 + 2x2 + 6)
o She rewrote the problem without parentheses: x3+ 2x2 - x + x3 – 2x2 +6
She rearranged the terms to put the like terms together: x3+ x3 + 2x2 – 2x2-x+6
She combined like terms to get a simplified answer: 2x3 - x + 6

Answer 1

She rewrote the problem without parentheses: x3+ 2x2 - x + x3 – 2x2 +6

Explanation:

It looks like she didn't fully distribute the -

(x3 + 2x2 - x)-(-x3 + 2x2 + 6) :Original

x3+ 2x2 - x + x3 – 2x2 +6 :Changed

~

(x3 + 2x2 - x)-(-x3 + 2x2 + 6)

x3 + 2x2 - x + x3 - 2x2 - 6

x3 + x3 + 2x2 - 2x2 -x - 6

2x3-x-6

I hope this helps ^-^