Solve (a^3-2)^2

$$( a ^ { 3 } - 2 ) ^ { 2 }$$

Expand

$$a^{6}-4a^{3}+4$$

Solution Steps

Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(a^{3}-2\right)^{2}.

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

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

$$a^{6}-4a^{3}+4$$

Evaluate

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

Solution Steps

Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(a^{3}-2\right)^{2}.

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

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

$$a^{6}-4a^{3}+4$$