Solve a^9-3a^7-5a^5/a^2

$$\frac { a ^ { 9 } - 3 a ^ { 7 } - 5 a ^ { 5 } } { a ^ { 2 } }$$

Evaluate

$$a^{3}\left(a^{4}-3a^{2}-5\right)$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(a^{2}-\left(-\frac{1}{2}\sqrt{29}+\frac{3}{2}\right)\right)\left(a^{2}-\left(\frac{1}{2}\sqrt{29}+\frac{3}{2}\right)\right)a^{5}}{a^{2}}$$

Cancel out a^{2} in both numerator and denominator.

$$\left(a^{2}-\left(-\frac{1}{2}\sqrt{29}+\frac{3}{2}\right)\right)\left(a^{2}-\left(\frac{1}{2}\sqrt{29}+\frac{3}{2}\right)\right)a^{3}$$

Expand the expression.

$$a^{7}-3a^{5}-5a^{3}$$

Expand

$$a^{7}-3a^{5}-5a^{3}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(a^{2}-\left(-\frac{1}{2}\sqrt{29}+\frac{3}{2}\right)\right)\left(a^{2}-\left(\frac{1}{2}\sqrt{29}+\frac{3}{2}\right)\right)a^{5}}{a^{2}}$$

Cancel out a^{2} in both numerator and denominator.

$$\left(a^{2}-\left(-\frac{1}{2}\sqrt{29}+\frac{3}{2}\right)\right)\left(a^{2}-\left(\frac{1}{2}\sqrt{29}+\frac{3}{2}\right)\right)a^{3}$$

Expand the expression.

$$a^{7}-3a^{5}-5a^{3}$$