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Factor
28+56 t+28 w to identify the equivalent expressions.
Choose 2 answers:
A
2(56+112 t+56 w)
B
28(1+2t+w)
c
4(7+13 t+7w)
D
7(4+8t+4w)

Factor $28+56 t+28 w$ to identify the equivalent expressions. $\newline$ Choose $2$ answers: $\newline$ A $2(56+112 t+56 w)$ $\newline$ B $28(1+2 t+w)$ $\newline$ c $4(7+13 t+7 w)$ $\newline$ D $7(4+8 t+4 w)$

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Sine and cosine of complementary angles

Full solution

Q. Factor

28+56 t+28 w

to identify the equivalent expressions.

\newline

Choose

2

answers:

\newline

A

2(56+112 t+56 w)

\newline

B

28(1+2 t+w)

\newline

c

4(7+13 t+7 w)

\newline

D

7(4+8 t+4 w)

Identify GCF: Step Title: Identify the Greatest Common Factor (GCF) $\newline$ Concise Step Description: Determine the greatest common factor of the terms in the expression. $\newline$ Step Calculation: The GCF of $28$ , $56t$ , and $28w$ is $28$ . $\newline$ Step Output: GCF: $28$
Factor Out GCF: Step Title: Factor Out the GCF $\newline$ Concise Step Description: Divide each term in the expression by the GCF and factor it out. $\newline$ Step Calculation: $(\frac{28}{28}) + (\frac{56t}{28}) + (\frac{28w}{28}) = 1 + 2t + w$ $\newline$ Step Output: Factored Expression: $28(1 + 2t + w)$
Compare with Choices: Step Title: Compare with Answer Choices $\newline$ Concise Step Description: Compare the factored expression with the given answer choices. $\newline$ Step Calculation: The factored expression $28(1 + 2t + w)$ matches with answer choice B. $\newline$ Step Output: Matching Answer Choice: $B$
Check Additional Answers: Step Title: Check for Additional Correct Answers $\newline$ Concise Step Description: Check if any other answer choices are equivalent to the factored expression. $\newline$ Step Calculation: Simplify each answer choice to see if it is equivalent to $28(1 + 2t + w)$ . $\newline$ - Answer A: $2(56 + 112t + 56w)$ simplifies to $112 + 224t + 112w$ , which is not equivalent. $\newline$ - Answer C: $4(7 + 13t + 7w)$ simplifies to $28 + 52t + 28w$ , which is not equivalent. $\newline$ - Answer D: $7(4 + 8t + 4w)$ simplifies to $28 + 56t + 28w$ , which is equivalent to the original expression. $\newline$ Step Output: Additional Matching Answer Choice: D

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