Question
Real Tutor Solution
Tutor-Verified Answer
Answer
The factored form is \(3x(x-10)(x+10)\).
Solution
Factor the expression \( 3x^3-300x\).
Factor the expression by following steps:
- step0: Factor:
\(3x^{3}-300x\)
- step1: Factor the expression:
\(3x\left(x^{2}-100\right)\)
- step2: Factor the expression:
\(3x\left(x-10\right)\left(x+10\right)\)
The factored form of the expression \(3x^{3}-300x\) is \(3x(x-10)(x+10)\).
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Beyond the Answer
To factor \( 3x^{3}-300x \), we start by pulling out the greatest common factor, which in this case is \( 3x \). This gives us: \( 3x(x^{2}-100) \). Next, we can recognize that \( x^{2}-100 \) is a difference of squares, which can be factored further: \( x^{2}-100 = (x-10)(x+10) \). Putting it all together, we get the fully factored form: \( 3x(x-10)(x+10) \).
