Question

Expand the polynomial:

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

Answer 1

`\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}`

Answer 2

`\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`