Solve (8-2x^6)^2

$$( 8 - 2 x ^ { 6 } ) ^ { 2 }$$

Evaluate

$$4\left(4-x^{6}\right)^{2}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(8-2x^{6}\right)^{2}.

$$64-32x^{6}+4\left(x^{6}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 6 and 2 to get 12.

$$64-32x^{6}+4x^{12}$$

Expand

$$4x^{12}-32x^{6}+64$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(8-2x^{6}\right)^{2}.

$$64-32x^{6}+4\left(x^{6}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 6 and 2 to get 12.

$$64-32x^{6}+4x^{12}$$