Solve (a^3+10)^2

$$( a ^ { 3 } + 10 ) ^ { 2 }$$

Expand

$$a^{6}+20a^{3}+100$$

Solution Steps

Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a^{3}+10\right)^{2}.

$$\left(a^{3}\right)^{2}+20a^{3}+100$$

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

$$a^{6}+20a^{3}+100$$

Evaluate

$$\left(a^{3}+10\right)^{2}$$

Solution Steps

Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a^{3}+10\right)^{2}.

$$\left(a^{3}\right)^{2}+20a^{3}+100$$

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

$$a^{6}+20a^{3}+100$$