Solve (p^2+6)(p^2-6)=

$$( p ^ { 2 } + 6 ) ( p ^ { 2 } - 6 ) =$$

Evaluate

$$p^{4}-36$$

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 6.

$$\left(p^{2}\right)^{2}-36$$

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

$$p^{4}-36$$

Expand

$$p^{4}-36$$

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 6.

$$\left(p^{2}\right)^{2}-36$$

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

$$p^{4}-36$$