Solve (a^2-5)(a^2+5)

$$( a ^ { 2 } - 5 ) ( a ^ { 2 } + 5 )$$

Evaluate

$$a^{4}-25$$

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 5.

$$\left(a^{2}\right)^{2}-25$$

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

$$a^{4}-25$$

Expand

$$a^{4}-25$$

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 5.

$$\left(a^{2}\right)^{2}-25$$

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

$$a^{4}-25$$