Question 65829
4x/x^2+18x+72 + 4/x+6 
The lcd is (x+6)(x+12)
Rewrite each fraction with the lcd as its denominator, as follows:
=[4x/lcd]+[4(x+12)/lcd]
Combine the numerators and write over the lcd, as follows:
=[4x+4(x+12)]/lcd
Simplify the numerator, as follows:
=[8x+48]/lcd
Factor the numerator:
=[8(x+6)]/[(x+6)(x+12)]
Cancel the common factor (x+6) to get:
=8/(x+12)
Cheers,
Stan H.