Mr. Knotts found the difference of the following expression. Which statement is true about Mr. Knotts’s work? the fraction with numerator x and denominator x squared minus 1 minus the fraction with numerator 1 and denominator x minus 1 Knotts’s Work Step 1: the fraction with numerator x and denominator open paren x plus 1 close paren times open paren x minus 1 close paren minus the fraction with numerator 1 and denominator x minus 1 Step 2: the fraction with numerator x and denominator open paren x plus 1 close paren times open paren x minus 1 close paren minus the fraction with numerator 1 times open paren x plus 1 close paren and denominator open paren x plus 1 close paren times open paren x minus 1 close paren Step 3: the fraction with numerator x minus x plus 1 and denominator open paren x plus 1 close paren times open paren x minus 1 close paren Step 4: the fraction with numerator 1 and denominator open paren x plus 1 close paren times open paren x minus 1 close paren
Answer
A
In step 1, he did not correctly factor the denominator.
B
In step 4, he did not correctly subtract the numerator.
C
In step 3, he did not distribute the negative sign when he subtracted.
D
In step 2, he did not use the correct common denominator.