7] 6/(x-1)-5x/4 subtracting the above we put the fraction under the same denominator: 6/(x-1)-5x/4 multiplying the denominators we get: 4(x-1) thus subtracting we get: 6/(x-1)-5x/4 =(4*6-5x(x-1))/[4(x-1)] =[24-5x^2+5x]/(4x-4) Answer: (-5x^2+5x+24)/(4x-4)
9] 3/(x+7)+4/(x-8) the common denominator is: (x+7)*(x-8)=(x+7)(x-8) thus adding the fractions we put them under the same denominator as follows: [3(x-8)+4(x+7)]/[(x+7)(x-8)] =[3x-24+4x+28]/[(x+7)(x-8)] =(7x+4)/[(x+7)(x-8)]
