Solve (t^3-1)^2

$$( t ^ { 3 } - 1 ) ^ { 2 }$$

Expand

$$t^{6}-2t^{3}+1$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(t^{3}-1\right)^{2}.

$$\left(t^{3}\right)^{2}-2t^{3}+1$$

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

$$t^{6}-2t^{3}+1$$

Evaluate

$$\left(t^{3}-1\right)^{2}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(t^{3}-1\right)^{2}.

$$\left(t^{3}\right)^{2}-2t^{3}+1$$

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

$$t^{6}-2t^{3}+1$$