Pregunta
Which shows \( 9 b c-6 b \) written in factored form? Choose the correct answer. \[ \begin{array}{l}3(3 b-2 c) \\ 3 b(3 c-2) \\ 6 b(c-1) \\ \text { cannot be factored }\end{array} \]
Ask by Hill Carlson. in the United States
Feb 28,2025
Solución de inteligencia artificial de Upstudy
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The factored form is \( 3b(3c - 2) \).
Solución
To factor 9bc - 6b, first notice that both terms have a common factor of 3b. Factor 3b out of each term:
9bc ÷ 3b = 3c
6b ÷ 3b = 2
So the expression becomes:
3b(3c - 2)
Thus, the correct answer is:
3b(3c - 2)
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Simplifique esta solución Beyond the Answer
To factor \( 9bc - 6b \), we can start by factoring out the greatest common factor. Both terms \( 9bc \) and \( -6b \) have \( 3b \) in common. Factoring \( 3b \) out gives us: \[ 3b(3c - 2) \] So, the correct answer is \( 3b(3c - 2) \).
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