Factor 64 b-16 c to identify the equivalent expressions. Choose 2 answers: A 16(4b-c) B 4(16 b-4) c. 8(8b+2c) D 2(32 b-8c)

Question

Factor  64 b-16 c to identify the equivalent expressions. Choose 2 answers: A  16(4b-c) B  4(16 b-4) c.  8(8b+2c) D  2(32 b-8c)

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Identify GCF: Step Title: Identify the Greatest Common Factor (GCF) Concise Step Description: Determine the greatest common factor that can be factored out from both terms in the expression 64b - 16c. Step Calculation: The GCF of 64 and 16 is 16. Step Output: GCF: 16Factor Out GCF: Step Title: Factor Out the GCF Concise Step Description: Factor out the GCF from the expression to simplify it. Step Calculation: Factoring out 16 from 64b - 16c gives us 16(4b - c). Step Output: Factored Expression: 16(4b - c)Verify Factored Expression: Step Title: Verify the Factored Expression Concise Step Description: Check if the factored expression is equivalent to the original expression by distributing the GCF back into the factored terms. Step Calculation: Distributing 16 into (4b - c) gives us 16*4b - 16*c, which simplifies to 64b - 16c. Step Output: Verified Expression: 64b - 16cCompare with Choices: Step Title: Compare with the Answer Choices Concise Step Description: Compare the factored expression with the given answer choices to identify the equivalent expressions. Step Calculation: The factored expression 16(4b - c) matches with choice A. Now, let's check if any other choices are equivalent. Step Output: Matching Choice: ACheck Other Choices: Step Title: Check Other Answer Choices Concise Step Description: Check if any other answer choices are equivalent to the factored expression by simplifying them. Step Calculation: Choice B simplifies to 4*16b - 4*4 which is 64b - 16c, so choice B is also equivalent. Choices C and D do not simplify to the original expression. Step Output: Equivalent Choices: A and B

Factor $64 b-16 c$ to identify the equivalent expressions. $\newline$ Choose $2$ answers: $\newline$ A $16(4 b-c)$ $\newline$ B $4(16 b-4)$ $\newline$ c $8(8 b+2 c)$ $\newline$ D $2(32 b-8 c)$

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Factor 64b−16c 64 b-16 c 64b−16c to identify the equivalent expressions.\newlineChoose 222 answers:\newlineA 16(4b−c) 16(4 b-c) 16(4b−c)\newlineB 4(16b−4) 4(16 b-4) 4(16b−4)\newlinec 8(8b+2c) 8(8 b+2 c) 8(8b+2c)\newlineD 2(32b−8c) 2(32 b-8 c) 2(32b−8c)

Factor $64 b-16 c$ to identify the equivalent expressions. $\newline$ Choose $2$ answers: $\newline$ A $16(4 b-c)$ $\newline$ B $4(16 b-4)$ $\newline$ c $8(8 b+2 c)$ $\newline$ D $2(32 b-8 c)$