Question
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Answer
Simplify the expression to \(3x^{2}-6x\).
Solution
Calculate or simplify the expression \( 2x^2-5x+x^2-x \).
Simplify the expression by following steps:
- step0: Solution:
\(2x^{2}-5x+x^{2}-x\)
- step1: Add the terms:
\(3x^{2}-6x\)
The simplified expression is \(3x^{2}-6x\).
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Simplify this solution Bonus Knowledge
Let's simplify the expression \( 2x^{2} - 5x + x^{2} - x \). We start by combining like terms: 1. Combine the \( x^{2} \) terms: \( 2x^{2} + x^{2} = 3x^{2} \). 2. Combine the \( x \) terms: \( -5x - x = -6x \). So, the expression simplifies to: \[ 3x^{2} - 6x \] Now, if you’re feeling adventurous, you can factor it out: \[ 3x(x - 2) \] And there you have it - the expression is simplified and factored!
