Question

What is the simplified form of the expression

3[14/(4^2 - 3^2) - 5]

a. -9
b. 27
c. 21
d. 6

Answer 1

I`m not sure of the answer but if you look up Math Way it might be able to help.

Answer 2

ANSWER

A.

`- 9`

Step-by-step 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( (14)/( (4 - 3)(4 + 3) ) - 5)`
We simplify the factors in the denominator to get,


`= 3( (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.