Solve (y+3)^3/(y+1)^3*y^2+2y+1/y^2+6y+9

$$\frac { ( y + 3 ) ^ { 3 } } { ( y + 1 ) ^ { 3 } } \cdot \frac { y ^ { 2 } + 2 y + 1 } { y ^ { 2 } + 6 y + 9 }$$

Evaluate

$$\frac{y+3}{y+1}$$

Short Solution Steps

Multiply \frac{\left(y+3\right)^{3}}{\left(y+1\right)^{3}} times \frac{y^{2}+2y+1}{y^{2}+6y+9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(y+3\right)^{3}\left(y^{2}+2y+1\right)}{\left(y+1\right)^{3}\left(y^{2}+6y+9\right)}$$

Factor the expressions that are not already factored.

$$\frac{\left(y+1\right)^{2}\left(y+3\right)^{3}}{\left(y+3\right)^{2}\left(y+1\right)^{3}}$$

Cancel out \left(y+1\right)^{2}\left(y+3\right)^{2} in both numerator and denominator.

$$\frac{y+3}{y+1}$$

Expand

$$\frac{y+3}{y+1}$$

Short Solution Steps

Multiply \frac{\left(y+3\right)^{3}}{\left(y+1\right)^{3}} times \frac{y^{2}+2y+1}{y^{2}+6y+9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(y+3\right)^{3}\left(y^{2}+2y+1\right)}{\left(y+1\right)^{3}\left(y^{2}+6y+9\right)}$$

Factor the expressions that are not already factored.

$$\frac{\left(y+1\right)^{2}\left(y+3\right)^{3}}{\left(y+3\right)^{2}\left(y+1\right)^{3}}$$

Cancel out \left(y+1\right)^{2}\left(y+3\right)^{2} in both numerator and denominator.

$$\frac{y+3}{y+1}$$