Which expression is equivalent to the fraction with numerator m minus 4 and denominator m plus 4 divided by open paren m plus 2 close paren ?
Answer
A
the fraction with numerator open paren m plus 4 close paren times open paren m plus 2 close paren and denominator m minus 4
B
the fraction with numerator m minus 4 and denominator open paren m plus 4 close paren times open paren m plus 2 close paren
C
the fraction with numerator m plus 4 and denominator open paren m minus 4 close paren times open paren m plus 2 close paren
D
the fraction with numerator open paren m minus 4 close paren times open paren m plus 2 close paren and denominator m plus 4
Explanation
Dividing a fraction by (m + 2) is the same as multiplying its denominator by (m + 2). Thus, (m − 4)/(m + 4) ÷ (m + 2) = (m − 4)/[(m + 4)(m + 2)], which matches choice B.
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