Mathematics: Which expression is equivalent to the expression below? StartFraction m + 3 Over m squared minus 16 EndFraction divided by StartFraction m squared minus 9 Over m + 4 EndFraction

Which expression is equivalent to the expression below?

angieboyd1pe3jme

19.01.2022

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

Step-by-step explanation:

We want to find an expression that is equivalent to

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

First, multiply by the reciprocal of the second fraction.

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

We now factor to obtain:

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

We cancel common factors to get:

$\frac{1}{ m - 4} \times \frac{1}{m - 3} = \frac{1}{(m - 4)(m + 3)}$

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kittykat5105

22.11.2022

The GFC of 6 and 18 is 6

Step-by-step explanation:

6 = 1, 2, 3, 6

18 = 1, 2, 3, 6, 9, 18

*Number that divides both 6 and 18 is 6*

Hope it helps!

Have a good day!

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