Expand the quotient by partial fractions.
-$\frac { y + 2 } { y ^ { 2 } ( y + 1 ) }$
A) $\frac { - 1 } { y } + \frac { 2 } { y ^ { 2 } } + \frac { 1 } { y + 1 }$
B) $\frac { - 1 } { y } + \frac { 2 } { y ^ { 2 } } + \frac { 2 } { y + 1 }$
C) $\frac { 1 } { y } + \frac { 2 } { y ^ { 2 } } + \frac { 1 } { y + 1 }$
D) $\frac { 2 } { y ^ { 2 } } + \frac { 1 } { y + 1 }$

Question

Quizplus · Accepted Answer

The given expression can be expanded into partial fractions by expressing it as a sum of simpler fractions. The correct expansion is $\frac { - 1 } { y } + \frac { 2 } { y ^ { 2 } } + \frac { 1 } { y + 1 }$, which matches option A. This is determined by breaking down the original fraction into components that, when combined, give the original fraction. Each term in the solution corresponds to a factor in the denominator of the original expression.

Expand the Quotient by Partial Fractions y+2y2(y+1)\frac { y + 2 } { y ^ { 2 } ( y + 1 ) }y2(y+1)y+2​

Expand the Quotient by Partial Fractions $\frac { y + 2 } { y ^ { 2 } ( y + 1 ) }$