Solve (2-y^2)^2

$$( 2 - y ^ { 2 } ) ^ { 2 }$$

Expand

$$y^{4}-4y^{2}+4$$

Solution Steps

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

$$4-4y^{2}+\left(y^{2}\right)^{2}$$

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

$$4-4y^{2}+y^{4}$$

Evaluate

$$\left(2-y^{2}\right)^{2}$$

Solution Steps

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

$$4-4y^{2}+\left(y^{2}\right)^{2}$$

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

$$4-4y^{2}+y^{4}$$