# Thread: Fill in the Blanks.

1. ## Fill in the Blanks.

1. (4 / x + 2) = ( ? / (x + 2)(x + 1))

2. (4x / x - 1) = ( ? / (x + 1)(x - 1))

Thanks.

2. Originally Posted by elliotfsl
1. (4 / x + 2) = ( ? / (x + 2)(x + 1))

2. (4x / x - 1) = ( ? / (x + 1)(x - 1))

Thanks.
If I understand your questions correctly then you have to multiply numerator and denominator so that the value of the quotient doesn't change(?). If so:

to #2:

$\frac{4x}{x-1} = \frac{4x(x+1)}{(x+1)(x-1)} = \frac{4x^2 + 4x}{x^2-1}$