Add or subtract.
-$\frac { 5 y ^ { 2 } + 6 } { 6 y ^ { 2 } + 7 y + 1 } - \frac { 5 - 2 y } { 6 y ^ { 2 } + 7 y + 1 } - \frac { 3 y ^ { 2 } - 1 y } { 6 y ^ { 2 } + 7 y + 1 }$
A) $\frac { 2 y + 1 } { 6 y + 1 }$
B) $\frac { 2 y + 1 } { y + 1 }$
C) $\frac { y + 1 } { 6 y + 1 }$
D) $\frac { 2 y - 1 } { 6 y + 1 }$

Question

Quizplus · Accepted Answer

The correct answer is A because the least common denominator of the three fractions is 6y^2 + 7y + 1. Adding or subtracting the numerators and keeping the denominator the same, we get (5y^2 + 6 - 5 + 2y - 3y^2 + 1y) / (6y^2 + 7y + 1) = (2y^2 + 2y + 1) / (6y^2 + 7y + 1) = (2y + 1) / (6y + 1).

Add or Subtract A) 2y+16y+1\frac { 2 y + 1 } { 6 y + 1 }6y+12y+1​

Add or Subtract A) $\frac { 2 y + 1 } { 6 y + 1 }$