Solve (m^2-p)(p+m^2)

$$( m ^ { 2 } - p ) ( p + m ^ { 2 } )$$

Evaluate

$$m^{4}-p^{2}$$

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}.

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

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

$$m^{4}-p^{2}$$

Expand

$$m^{4}-p^{2}$$

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}.

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

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

$$m^{4}-p^{2}$$