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 park hesis after He didn't combine the like terms correctly He was supposed to multiply the trinomials Justin made no mistakes

Justin made a mistake in distributing the negative sign to everything in the parentheses after the subtraction. Let's go through the correct steps:<br /><br />The original expression is:<br />\[<br />(x^{2} - 3x + 4) - (x^{3} + 7x - 2)<br />\]<br /><br />When you remove the parentheses, you need to distribute the negative sign across each term in the second set of parentheses:<br />\[<br />= x^{2} - 3x + 4 - x^{3} - 7x + 2<br />\]<br /><br />Now, combine like terms:<br />- The \(x^3\) term: \(-x^3\)<br />- The \(x^2\) term: \(x^2\)<br />- The \(x\) terms: \(-3x - 7x = -10x\)<br />- The constant terms: \(4 + 2 = 6\)<br /><br />So, the correct simplified expression is:<br />\[<br />-x^{3} + x^{2} - 10x + 6<br />\]<br /><br />Therefore, Justin's error was that he didn't distribute the negative sign correctly to all terms in the second set of parentheses.