Solve (3-x^2)(3-x^2)

$$( 3 - x ^ { 2 } ) ( 3 - x ^ { 2 } )$$

Evaluate

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

Solution Steps

Multiply 3-x^{2} and 3-x^{2} to get \left(3-x^{2}\right)^{2}.

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

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

$$9-6x^{2}+\left(x^{2}\right)^{2}$$

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

$$9-6x^{2}+x^{4}$$

Expand

$$x^{4}-6x^{2}+9$$

Solution Steps

Multiply 3-x^{2} and 3-x^{2} to get \left(3-x^{2}\right)^{2}.

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

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

$$9-6x^{2}+\left(x^{2}\right)^{2}$$

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

$$9-6x^{2}+x^{4}$$