68.1k views
8 votes
Expand the polynomial:

-4m^2(n^2-m^2)+3n^2(m^2-n^2)

User Kins
by
5.4k points

2 Answers

12 votes

Answer:


\tt{ { - 4m}^(2)( {n}^(2) - {m}^(2) ) + {3n}^(2)( {m}^(2) - {n}^(2)) }


\tt{-4m^2n^2+4m^4+3n^2m^2-3n^4}


\tt{-4m^2n^2+3m^2n^2+4m^4-3n^4}


\tt{-m^2n^2+4m^4-3^4}

User Adam Cozzette
by
5.6k points
7 votes

Answer:


\bf -m^2n^2+4m ^4-3n ^4

Explanation:


\bf -4m^2(n^2-m^2)+3n^2(m^2-n^2)

Expand.


\bf -4m^2n^2+4m^4+3n^2m^2-3n ^4

Collect like terms.


\bf (-4m ^2n^ 2+3m^2n^ 2)+4m ^4-3n^4


\bf -m^2n^2+4m ^4-3n ^4

User Cyrf
by
5.3k points
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