Solve x^9-(3x^3)^2

$$x ^ { 9 } - ( 3 x ^ { 3 } ) ^ { 2 }$$

Evaluate

$$\left(x^{3}-9\right)x^{6}$$

Solution Steps

Expand \left(3x^{3}\right)^{2}.

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

To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.

$$x^{9}-3^{2}x^{6}$$

Calculate 3 to the power of 2 and get 9.

$$x^{9}-9x^{6}$$

Expand

$$x^{9}-9x^{6}$$

Solution Steps

Expand \left(3x^{3}\right)^{2}.

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

To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.

$$x^{9}-3^{2}x^{6}$$

Calculate 3 to the power of 2 and get 9.

$$x^{9}-9x^{6}$$