Solve (a+8)(a^2+9)(a-2/5)

$$( a + 8 ) ( a ^ { 2 } + 9 ) ( a - \frac { 2 } { 5 } )$$

Evaluate

$$\frac{\left(5a-2\right)\left(a+8\right)\left(a^{2}+9\right)}{5}$$

Solution Steps

Use the distributive property to multiply a+8 by a^{2}+9.

$$\left(a^{3}+9a+8a^{2}+72\right)\left(a-\frac{2}{5}\right)$$

Use the distributive property to multiply a^{3}+9a+8a^{2}+72 by a-\frac{2}{5} and combine like terms.

$$a^{4}+\frac{38}{5}a^{3}+\frac{29}{5}a^{2}+\frac{342}{5}a-\frac{144}{5}$$

Expand

$$a^{4}+\frac{38a^{3}}{5}+\frac{29a^{2}}{5}+\frac{342a}{5}-\frac{144}{5}$$

Solution Steps

Use the distributive property to multiply a+8 by a^{2}+9.

$$\left(a^{3}+9a+8a^{2}+72\right)\left(a-\frac{2}{5}\right)$$

Use the distributive property to multiply a^{3}+9a+8a^{2}+72 by a-\frac{2}{5} and combine like terms.

$$a^{4}+\frac{38}{5}a^{3}+\frac{29}{5}a^{2}+\frac{342}{5}a-\frac{144}{5}$$