Solve (k^3+4)^2

$$( k ^ { 3 } + 4 ) ^ { 2 }$$

Expand

$$k^{6}+8k^{3}+16$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(k^{3}+4\right)^{2}.

$$\left(k^{3}\right)^{2}+8k^{3}+16$$

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

$$k^{6}+8k^{3}+16$$

Evaluate

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

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(k^{3}+4\right)^{2}.

$$\left(k^{3}\right)^{2}+8k^{3}+16$$

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

$$k^{6}+8k^{3}+16$$