Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor 24j1624j-16 to identify the equivalent expressions.\newlineChoose 22 answers:\newline(A) 8(3j2)8(3j-2)\newline(B) 6(4j2j)6(4j-2j)\newline(C) 4(6j4)4(6j-4)\newline(D) 2(128)2(12-8)

Full solution

Q. Factor 24j1624j-16 to identify the equivalent expressions.\newlineChoose 22 answers:\newline(A) 8(3j2)8(3j-2)\newline(B) 6(4j2j)6(4j-2j)\newline(C) 4(6j4)4(6j-4)\newline(D) 2(128)2(12-8)
  1. Identify GCF: Step Title: Identify the Greatest Common Factor (GCF)\newlineConcise Step Description: Find the greatest common factor of 2424 and 1616.\newlineStep Calculation: The GCF of 2424 and 1616 is 88.
  2. Factor Out GCF: Step Title: Factor Out the GCF\newlineConcise Step Description: Factor out the GCF from the expression 24j1624j - 16.\newlineStep Calculation: Factoring out 88 gives 8(3j2)8(3j - 2).
  3. Verify Options: Step Title: Verify the Options\newlineConcise Step Description: Verify which of the given options match the factored expression.\newlineStep Calculation: The correct factored expression is 8(3j2)8(3j - 2), which matches option A.\newlineOption B simplifies to 6(2j)6(2j), which is not equivalent to the original expression.\newlineOption C simplifies to 4(6j4)4(6j - 4), which is not equivalent to the original expression.\newlineOption D simplifies to 2(12j8j)2(12j - 8j), which is not equivalent to the original expression.