Answer:
[tex]\frac{5x+2}{(x-4)(x+7)}[/tex]
Step-by-step explanation:
to obtain a common denominator
multiply the numerator/denominator of the first fraction by x + 7
multiply the numerator/denominator of the second fraction by x - 4
= [tex]\frac{2(x+7)}{(x-4)(x+7)}[/tex] + [tex]\frac{3(x-4)}{(x-4)(x+7)}[/tex]
simplify and add numerators leaving the common denominator
= [tex]\frac{2x+14+3x-12}{(x-4)(x+7)}[/tex]
= [tex]\frac{5x+2}{(x-4)(x+7)}[/tex]
