How do you multiply (m^{2}-4mp+p^{2})(m^{2}+4mp-p^{2})?

cyrsvab

cyrsvab

Answered question

2022-02-04

How do you multiply (m24+p2)(m2+4p2)?

Answer & Explanation

Addison Matthews

Addison Matthews

Beginner2022-02-05Added 13 answers

Explanation:
(m24+p2)(m2+4p2)
=m2(m2+4p2)4(m2+4p2)+p2(m2+4p2)
=m4+4m3pp2m24m3p16m2p2+43+p2m2+43p4
=m416m2p2+83p4
stefjumnmt

stefjumnmt

Beginner2022-02-06Added 14 answers

One can use formula (ab)(a+b)=a2b2 as follows:
(m24+p2)(m2+4p2)
=(m2(4p2))(m2+(4p2)))
=(m2)2(4p2)2
=m4(16m2p283+p4)
=m416m2p2+83p4

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