Question

Rational Equations help!

Answer 1

D

Explanation:

To find the length of board subtract the piece cut from the length of board

`(7)/(x-2)` -
`(3)/(x+2)`

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)

=
`(7(x+2))/((x-2)(x+2))` -
`(3(x-2))/((x-2)(x+2))`

Distribute the numerators leaving the denominator

=
`(7x+14-3x+6)/((x-2)(x+2))`

=
`(4x+20)/((x-2)(x+2))`

Answer 2

The correct option is D

Explanation:

See the attached image for solution