Justin Bieber worked out the following problem. Hailey Baldwin told him she found a mistake. Where was Justin's error: (x^2-3x+4)-(x^3+7x-2) =x^2-3x+4-x^3+7x-2 =-x^3+x^2+4x+2 He didn't distribute the negative to everything in the parenthesis after He didn't combine the like terms correctly Justin made no mistakes He was supposed to multiply the trinomials

## Step 1<br />The problem given is \((x^{2}-3x+4)-(x^{3}+7x-2)\). The first step Justin took was to distribute the negative sign to each term in the second parenthesis. This is correct.<br /><br />## Step 2<br />The next step Justin took was to combine like terms. However, he made a mistake here. He should have added the like terms, not subtracted them.<br /><br />## Step 3<br />The correct calculation should be \(x^{2}-3x+4-x^{3}-7x+2\), which simplifies to \(-x^{3}+x^{2}-10x+6\).