Solve (a^5-6)^2

$$( a ^ { 5 } - 6 ) ^ { 2 }$$

Expand

$$a^{10}-12a^{5}+36$$

Solution Steps

Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(a^{5}-6\right)^{2}.

$$\left(a^{5}\right)^{2}-12a^{5}+36$$

To raise a power to another power, multiply the exponents. Multiply 5 and 2 to get 10.

$$a^{10}-12a^{5}+36$$

Evaluate

$$\left(a^{5}-6\right)^{2}$$

Solution Steps

Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(a^{5}-6\right)^{2}.

$$\left(a^{5}\right)^{2}-12a^{5}+36$$

To raise a power to another power, multiply the exponents. Multiply 5 and 2 to get 10.

$$a^{10}-12a^{5}+36$$