Solve (b^2+20)(b^2-20)

$$( b ^ { 2 } + 20 ) ( b ^ { 2 } - 20 )$$

Evaluate

$$b^{4}-400$$

Solution Steps

Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 20.

$$\left(b^{2}\right)^{2}-400$$

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

$$b^{4}-400$$

Expand

$$b^{4}-400$$

Solution Steps

Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 20.

$$\left(b^{2}\right)^{2}-400$$

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

$$b^{4}-400$$