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stellarik [79]
4 years ago
9

What is the simplified form of the expression

Mathematics
2 answers:
Natasha2012 [34]4 years ago
7 0
I`m not sure of the answer but if you look up Math Way it might be able to help. 
vichka [17]4 years ago
7 0
ANSWER

A.
- 9

EXPLANATION

The given expression is

3( \frac{14}{ {4}^{2}  -  {3}^{2} }  - 5)

Recall that,

{a}^{2}  -  {b}^{2}  = (a - b)(a + b)

We apply the difference of two squares formula to factor the numerator to obtain,



= 3( \frac{14}{ (4 - 3)(4 + 3) }  - 5)
We simplify the factors in the denominator to get,

= 3( \frac{14}{ (1)(7) }  - 5)
Let us cancel out the common factors now to get,

= 3( 2  - 5)


This will give us,

= 3( - 3) =  - 9


The correct answer is A.
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