Solve 3^6(a^6-27a^4+243a^2-729)

$$3 ^ { 6 } ( a ^ { 6 } - 27 a ^ { 4 } + 243 a ^ { 2 } - 729 )$$

Evaluate

$$729\left(a^{2}-9\right)^{3}$$

Solution Steps

Calculate 3 to the power of 6 and get 729.

$$729\left(a^{6}-27a^{4}+243a^{2}-729\right)$$

Use the distributive property to multiply 729 by a^{6}-27a^{4}+243a^{2}-729.

$$729a^{6}-19683a^{4}+177147a^{2}-531441$$

Expand

$$729a^{6}-19683a^{4}+177147a^{2}-531441$$

Solution Steps

Calculate 3 to the power of 6 and get 729.

$$729\left(a^{6}-27a^{4}+243a^{2}-729\right)$$

Use the distributive property to multiply 729 by a^{6}-27a^{4}+243a^{2}-729.

$$729a^{6}-19683a^{4}+177147a^{2}-531441$$