Pregunta
Select the factored form of this expression. \[ 5 x^{4}+15 x^{2} \]
Ask by Elliott Washington. in the United States
Mar 05,2025
Solución de inteligencia artificial de Upstudy
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The factored form is \(5x^{2}(x^{2}+3)\).
Solución
Factor the expression \( 5x^4+15x^2 \).
Factor the expression by following steps:
- step0: Factor:
\(5x^{4}+15x^{2}\)
- step1: Rewrite the expression:
\(5x^{2}\times x^{2}+5x^{2}\times 3\)
- step2: Factor the expression:
\(5x^{2}\left(x^{2}+3\right)\)
The factored form of the expression \(5x^{4}+15x^{2}\) is \(5x^{2}(x^{2}+3)\).
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Simplifique esta solución Beyond the Answer
To factor the expression \( 5x^{4} + 15x^{2} \), you can start by identifying the greatest common factor (GCF). Here, the GCF is \( 5x^{2} \). Factoring this out, you get: \[ 5x^{2}(x^{2} + 3) \] So, the factored form of the expression is \( 5x^{2}(x^{2} + 3) \).
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