nulabott
Answered

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expand the polynomial:

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

Sagot :

Answer:

[tex]\bf -m^2n^2+4m ^4-3n ^4[/tex]

Step-by-step explanation:

[tex]\bf -4m^2(n^2-m^2)+3n^2(m^2-n^2)[/tex]

Expand.

[tex]\bf -4m^2n^2+4m^4+3n^2m^2-3n ^4[/tex]

Collect like terms.

[tex]\bf (-4m ^2n^ 2+3m^2n^ 2)+4m ^4-3n^4[/tex]

[tex]\bf -m^2n^2+4m ^4-3n ^4[/tex]

Answer:

[tex]\tt{ { - 4m}^{2}( {n}^{2} - {m}^{2} ) + {3n}^{2}( {m}^{2} - {n}^{2}) } [/tex]

[tex]\tt{-4m^2n^2+4m^4+3n^2m^2-3n^4} [/tex]

[tex]\tt{-4m^2n^2+3m^2n^2+4m^4-3n^4} [/tex]

[tex]\tt{-m^2n^2+4m^4-3^4}[/tex]

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