Solve (3-8w^2)^2=

$$( 3 - 8 w ^ { 2 } ) ^ { 2 } =$$

Evaluate

$$\left(3-8w^{2}\right)^{2}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3-8w^{2}\right)^{2}.

$$9-48w^{2}+64\left(w^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$9-48w^{2}+64w^{4}$$

Expand

$$64w^{4}-48w^{2}+9$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3-8w^{2}\right)^{2}.

$$9-48w^{2}+64\left(w^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$9-48w^{2}+64w^{4}$$