Answer: 2(n + 4) (n - 4)
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula,
a^2 - b^2 = ( a + b ) ( a + b )
Greetings!To find the length of any side of a
right triangle, you can use the
Pythagorean Thereom. It states that the squares of two sides are equal to the square of the hypotenuse:
Input the information from the diagram into the formula:
Expand each term:



Combine like terms:
Add -169 to both sides:

Factor out the Common Term (2):
Factor the Complex Trinomial:



Set Factors to equal
0:


or


However, since we are solving for the side length, the only possible answer is 5 (a shape can't have a side with a negative length.)
The Solution Is:

I hope this helped!
-Benjamin
Answer:
See below
Step-by-step explanation:
1)

2)

Equating like terms on both sides:
Solving equations (1) & (2), we find:
A = 5, B = 7
