Solve 20(y+4)*(y^2+5y+3)div5(y+4)

$$20 ( y + 4 ) \cdot ( y ^ { 2 } + 5 y + 3 ) \div 5 ( y + 4 )$$

Evaluate

$$4\left(y+4\right)^{2}\left(y^{2}+5y+3\right)$$

Solution Steps

Use the distributive property to multiply 20 by y+4.

$$\frac{\left(20y+80\right)\left(y^{2}+5y+3\right)}{5}\left(y+4\right)$$

Use the distributive property to multiply 20y+80 by y^{2}+5y+3 and combine like terms.

$$\frac{20y^{3}+180y^{2}+460y+240}{5}\left(y+4\right)$$

Express \frac{20y^{3}+180y^{2}+460y+240}{5}\left(y+4\right) as a single fraction.

$$\frac{\left(20y^{3}+180y^{2}+460y+240\right)\left(y+4\right)}{5}$$

Use the distributive property to multiply 20y^{3}+180y^{2}+460y+240 by y+4 and combine like terms.

$$\frac{20y^{4}+260y^{3}+1180y^{2}+2080y+960}{5}$$

Expand

$$4y^{4}+52y^{3}+236y^{2}+416y+192$$

Solution Steps

Use the distributive property to multiply 20 by y+4.

$$\frac{\left(20y+80\right)\left(y^{2}+5y+3\right)}{5}\left(y+4\right)$$

Use the distributive property to multiply 20y+80 by y^{2}+5y+3 and combine like terms.

$$\frac{20y^{3}+180y^{2}+460y+240}{5}\left(y+4\right)$$

Express \frac{20y^{3}+180y^{2}+460y+240}{5}\left(y+4\right) as a single fraction.

$$\frac{\left(20y^{3}+180y^{2}+460y+240\right)\left(y+4\right)}{5}$$

Use the distributive property to multiply 20y^{3}+180y^{2}+460y+240 by y+4 and combine like terms.

$$\frac{20y^{4}+260y^{3}+1180y^{2}+2080y+960}{5}$$