Answer:
D
Step-by-step explanation:
To find the length of board subtract the piece cut from the length of board
[tex]\frac{7}{x-2}[/tex] - [tex]\frac{3}{x+2}[/tex]
Before subtracting the fractions we require them to have a common denominator.
Multiply the numerator/denominator of the first fraction by (x + 2)
Multiply the numerator/denominator of the second fraction by (x - 2)
= [tex]\frac{7(x+2)}{(x-2)(x+2)}[/tex] - [tex]\frac{3(x-2)}{(x-2)(x+2)}[/tex]
Distribute the numerators leaving the denominator
= [tex]\frac{7x+14-3x+6}{(x-2)(x+2)}[/tex]
= [tex]\frac{4x+20}{(x-2)(x+2)}[/tex]
