Question

Identify the equivalent expression in the equation 1x2−x+1x=5x2−x and demonstrate multiplying by the common denominator.(1 point)
Responses

(x2−x)(1x2−x)+(x2−x)(1x)=(x2−x)(5x2−x)
left parenthesis x squared minus x right parenthesis left parenthesis Start Fraction 1 over x squared minus x End Fraction right parenthesis plus left parenthesis x squared minus x right parenthesis left parenthesis Start Fraction 1 over x End Fraction right parenthesis equals left parenthesis x squared minus x right parenthesis left parenthesis Start Fraction 5 over x squared minus x End Fraction right parenthesis

x(1x2−x)+x(1x)=x(5x2−x)
x left parenthesis Start Fraction 1 over x squared minus x End Fraction right parenthesis plus x left parenthesis Start Fraction 1 over x End Fraction right parenthesis equals x left parenthesis Start Fraction 5 over x squared minus x End Fraction right parenthesis

x2(1x2−x)+x2(1x)=x2(5x2−x)
x squared left parenthesis Start Fraction 1 over x squared minus x End Fraction right parenthesis plus x squared left parenthesis Start Fraction 1 over x End Fraction right parenthesis equals x squared left parenthesis Start Fraction 5 over x squared minus x End Fraction right parenthesis

(x−1)(1x2−x)+(x−1)(1x)=(x−1)(5x2−x)

Answer 1

left parenthesis x minus 1 right parenthesis left parenthesis Start Fraction 1 over x squared minus x End Fraction right parenthesis plus left parenthesis x minus 1 right parenthesis left parenthesis Start Fraction 1 over x End Fraction right parenthesis equals left parenthesis x minus 1 right parenthesis left parenthesis Start Fraction 5 over x squared minus x End Fraction right parenthesis