Question 30001
{{{ (10/(x^2-5x-14)) + (2/(x-7)) }}} factor the denominator of the first fraction
{{{ (10/((x+2)(x-7))) + (2/(x-7)) }}} Common denom is (x+2)(x-7)
{{{ (10/((x+2)(x-7))) + ((2(x+2))/(x-7)(x+2)) }}} distribute the 2 on the numerator of the second fraction
{{{ (10/((x+2)(x-7))) + ((2x+4))/(x-7)(x+2)) }}} Add the fractions
{{{ (10+2x+4)/((x-7)(x+2)) }}} combine like terms
{{{ (2x+14)/((x-7)(x+2)) }}}