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deff fn [24]
3 years ago
8

Which expression is equivalent to the expression below? StartFraction m + 3 Over m squared minus 16 EndFraction divided by Start

Fraction m squared minus 9 Over m + 4 EndFraction StartFraction 1 Over (m + 4) (m + 3) EndFraction StartFraction 1 Over (m minus 4) (m minus 3) EndFraction StartFraction m minus 4 Over m minus 3 EndFraction StartFraction m + 3 Over m + 4 EndFraction
Mathematics
2 answers:
Kamila [148]3 years ago
3 0

Option B: \frac{1}{(m-4)(m-3)} is the correct answer.

Explanation:

The given expression is \frac{(\frac{m+3}{m^2-16}) }{(\frac{m^2-9}{m+4} )}

Simplifying the expression, we have,

\frac{m+3}{m^{2}-16}\times\frac{m+4}{m^2-9}

Factor the equations, m^{2}-16\right and m^{2}-9,we get,

m^{2}-16\right=m^{2}-4^{2}=(m+4)(m-4)

m^{2}-9=m^{2}-3^2=(m+3)(m-3)

Substituting these factored expressions in the above expression, we have,

\frac{m+3}{(m+4)(m-4)}\times\frac{m+4}{(m+3)(m-3)}

Cancelling the common terms m+3 and m+4 , we get,

\frac{1}{(m-4)(m-3)}

Thus, the expression equivalent to \frac{(\frac{m+3}{m^2-16}) }{(\frac{m^2-9}{m+4} )} is \frac{1}{(m-4)(m-3)}

Hence, Option B is the correct answer.

ipn [44]3 years ago
3 0

Answer:

B. m =6

Step-by-step explanation:

What is the solution to the equation StartFraction 3 Over m + 3 EndFraction minus StartFraction m Over 3 minus m EndFraction = StartFraction m squared + 9 Over m squared minus 9 EndFraction?

m = 3

m = 6

all real numbers

no solution

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