Question

The expression correspond to the factor (m²+4) (m+2)(m-2)​

Answer 1

Answer:

$m^{4}-16$

Step-by-step explanation:

  $(m^{2}+4)(m+2)(m-2)$

= $(m^{2}+4)(m^{2}-4)$                                 [As $(a+b)(a-b)=a^{2}-b^{2}$]

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

= $(m^{2})^{2} - (2^{2})^{2}$                                       [As $(a+b)(a-b)=a^{2}-b^{2}$]

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

= $m^{4}-16$

Ans:- $m^{4}-16$