Solve (2-lambda^2)^2

$$( 2 - \lambda ^ { 2 } ) ^ { 2 }$$

Expand

$$\lambda ^{4}-4\lambda ^{2}+4$$

Solution Steps

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

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

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

$$4-4\lambda ^{2}+\lambda ^{4}$$

Evaluate

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

Solution Steps

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

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

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

$$4-4\lambda ^{2}+\lambda ^{4}$$