Help with adding a fraction; (3*x+4)/(x-7)-(x-4)/(x^2-15*x+56) Step-by-Step Math Problem Solver

Created on: 2011-12-03

Join fractions

(3*x+4)/(x-7)-(x-4)/(x^2-15*x+56)

A sum consisting of 2 terms. The first term of the sum is equal to a rational expression: the top of the rational expression is a sum that comprises 2 terms. The first term of the sum is equal to a product comprising 2 factors. The first factor of the product is three. The second factor of the product is x. The second term of the sum is equal to four. The bottom of the rational expression is a sum consisting of 2 terms. The first term of the sum is equal to x. The second term of the sum is equal to negative seven. The second term of the sum is a negative fraction: the numerator of the fraction is a sum that comprises 2 terms. The first term of the sum is equal to x. The second term of the sum is negative four. The denominator of the fraction is a sum that comprises 3 terms. The first term of the sum is a power . The base is x. The exponent is two. The second term of the sum is equal to a negative product that contains 2 factors. The first factor of the product is equal to fifteen. The second factor of the product is x. The third term of the sum is fifty six.
three times x plus four over x plus negative seven plus negative x plus negative four over x to the power two plus negative fifteen multiplied by x plus fifty six;

(3*x^2-21*x-28)/((x-8)*(x-7))

A quotient: dividend of the quotient is a sum that contains 3 terms. The first term of the sum is a product that comprises 2 factors. The first factor of the product is equal to three. The second factor of the product is equal to a power. The base is x. The exponent is two. The second term of the sum is equal to a negative product of 2 factors. The first factor of the product is equal to twenty one. The second factor of the product is equal to x. The third term of the sum is negative twenty eight. Divisor of the quotient is a product consisting of 2 factors. The first factor of the product is equal to a sum comprising 2 terms. The first term of the sum is x. The second term of the sum is equal to negative eight. The second factor of the product is equal to a sum that comprises 2 terms. The first term of the sum is x. The second term of the sum is negative seven.
three times x to the power two plus negative twenty one multiplied by x plus negative twenty eight fraction line opening parenthesis x plus negative eight closing parenthesis multiplied by left parenthesis x plus negative seven right parenthesis;