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Answer: StartFraction m minus 4 Over (m + 4) (m + 2) EndFraction
Step-by-step explanation:
The expression [tex]\dfrac{\dfrac{m-4}{m+4}}{m+2}[/tex] is equivalent to [tex]\dfrac{m-4}{(m+4)(m+2)}[/tex]. The correct option is B.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression is [tex]\dfrac{\dfrac{m-4}{m+4}}{m+2}[/tex]. Simplify the expression.
Use the fraction property.
[tex]\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}{=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]
Simplify the below expression.
[tex]\dfrac{\dfrac{m-4}{m+4}}{m+2}{=\dfrac{m-4}{(m+4)(m+2)}[/tex]
Therefore, the expression [tex]\dfrac{\dfrac{m-4}{m+4}}{m+2}[/tex] is equivalent to [tex]\dfrac{m-4}{(m+4)(m+2)}[/tex].
The complete options are given below:-
StartFraction m minus 4 Over (m + 4) (m + 2) EndFraction
StartFraction (m + 4) (m + 2) Over m minus 4 EndFraction
StartFraction (m minus 4) (m + 2) Over m + 4 EndFraction
StartFraction m + 4 Over (m minus 4) (m + 2) EndFraction
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