Question 1119619
What is the simplified form of the quantity of x plus 4, all over the quantity of 7 − the quantity of x plus 3, all over the quantity of x plus 5?
Assuming you mean
{{{(x+4)/(7)}}}-{{{(x+3)/(x+5)}}}
the common denominator will be 7(x+5)
{{{((x+5)(x+4)-7(x+3))/7(x+5)}}}
FOIL. distribute the 7
{{{((x^2 + 9x + 20 - 7x - 21))/7(x+5)}}}
Combine like terms
{{{(x^2 + 2x - 1)/7(x+5)}}} or {{{(x^2 + 2x - 1)/(7x+35)}}}